예제: 행렬 놈 및 행렬식 함수

함수 > 벡터 및 행렬 > 배열 특성 > 예제: 행렬 놈 및 행렬식 함수

예제: 행렬 놈 및 행렬식 함수

1. 정방 행렬을 정의합니다.

2. 행렬 요소를 일반 변수 이름으로 설정합니다.

이 식을 복사하려면 클릭

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        </id>
        <id labels="VARIABLE" xml:space="preserve">
          <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">b<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
        </id>
        <id labels="VARIABLE" xml:space="preserve">
          <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
        </id>
        <id labels="VARIABLE" xml:space="preserve">
          <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">a<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript></Span>
        </id>
        <id labels="VARIABLE" xml:space="preserve">
          <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">b<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript></Span>
        </id>
        <id labels="VARIABLE" xml:space="preserve">
          <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript></Span>
        </id>
        <id labels="VARIABLE" xml:space="preserve">
          <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">a<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript></Span>
        </id>
        <id labels="VARIABLE" xml:space="preserve">
          <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">b<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript></Span>
        </id>
        <id labels="VARIABLE" xml:space="preserve">
          <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript></Span>
        </id>
      </matrix>
      <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">M</id>
    </define>
    <resultFormat>
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" />
    </resultFormat>
  </math>
</region>

3. norm1 함수를 사용하여 행렬 M의 L1 놈(norm)을 구합니다.

또는 M의 절대 열 합의 최대값을 계산하여 L1 놈을 구합니다.

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  <math resultRef="48">
    <define xmlns="http://schemas.mathsoft.com/math50">
      <id labels="VARIABLE" xml:space="preserve">
        <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">ACS<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
      </id>
      <apply>
        <plus />
        <apply>
          <plus />
          <apply>
            <absval />
            <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
              <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">a<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
            </id>
          </apply>
          <apply>
            <absval />
            <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
              <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">b<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
            </id>
          </apply>
        </apply>
        <apply>
          <absval />
          <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
            <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
          </id>
        </apply>
      </apply>
    </define>
  </math>
</region>

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    <define xmlns="http://schemas.mathsoft.com/math50">
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      </id>
      <apply>
        <plus />
        <apply>
          <plus />
          <apply>
            <absval />
            <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
              <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">a<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript></Span>
            </id>
          </apply>
          <apply>
            <absval />
            <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
              <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">b<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript></Span>
            </id>
          </apply>
        </apply>
        <apply>
          <absval />
          <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
            <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript></Span>
          </id>
        </apply>
      </apply>
    </define>
  </math>
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    <define xmlns="http://schemas.mathsoft.com/math50">
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      </id>
      <apply>
        <plus />
        <apply>
          <plus />
          <apply>
            <absval />
            <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
              <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">a<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript></Span>
            </id>
          </apply>
          <apply>
            <absval />
            <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
              <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">b<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript></Span>
            </id>
          </apply>
        </apply>
        <apply>
          <absval />
          <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
            <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript></Span>
          </id>
        </apply>
      </apply>
    </define>
  </math>
</region>

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  <math resultRef="54">
    <define xmlns="http://schemas.mathsoft.com/math50">
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        <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">N<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">L1</Subscript></Span>
      </id>
      <eval>
        <apply>
          <id labels="FUNCTION" xml:space="preserve" label-is-contextual="true">max</id>
          <sequence>
            <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
              <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">ACS<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
            </id>
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              <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">ACS<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript></Span>
            </id>
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              <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">ACS<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript></Span>
            </id>
          </sequence>
        </apply>
        <unitOverride>
          <placeholder />
        </unitOverride>
      </eval>
    </define>
    <resultFormat>
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" />
    </resultFormat>
  </math>
</region>

4. norm2 함수를 사용하여 행렬 M의 L2 놈(norm)을 구합니다.

또는 svds 함수를 사용하여 행렬 M의 최대 절대 특이값을 구합니다.

svds 함수는 정렬된 특이값의 벡터를 반환하므로 맨 위에 있는 값이 행렬 M의 가장 큰 특이값입니다.

5. norme 함수를 사용하여 행렬 M의 유클리드 놈을 구합니다.

또는 행렬 M의 절대 제곱합의 제곱근을 수동으로 계산합니다.

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    <define xmlns="http://schemas.mathsoft.com/math50">
      <id labels="VARIABLE" xml:space="preserve">
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      </id>
      <eval>
        <apply>
          <nthRoot />
          <placeholder />
          <apply>
            <plus />
            <apply>
              <plus />
              <apply>
                <plus />
                <apply>
                  <plus />
                  <apply>
                    <plus />
                    <apply>
                      <plus />
                      <apply>
                        <plus />
                        <apply>
                          <plus />
                          <apply>
                            <pow />
                            <apply>
                              <absval />
                              <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                                <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">a<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
                              </id>
                            </apply>
                            <real>2</real>
                          </apply>
                          <apply>
                            <pow />
                            <apply>
                              <absval />
                              <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                                <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">a<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript></Span>
                              </id>
                            </apply>
                            <real>2</real>
                          </apply>
                        </apply>
                        <apply>
                          <pow />
                          <apply>
                            <absval />
                            <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                              <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">a<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript></Span>
                            </id>
                          </apply>
                          <real>2</real>
                        </apply>
                      </apply>
                      <apply>
                        <pow />
                        <apply>
                          <absval />
                          <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                            <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">b<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
                          </id>
                        </apply>
                        <real>2</real>
                      </apply>
                    </apply>
                    <apply>
                      <pow />
                      <apply>
                        <absval />
                        <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                          <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">b<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript></Span>
                        </id>
                      </apply>
                      <real>2</real>
                    </apply>
                  </apply>
                  <apply>
                    <pow />
                    <apply>
                      <absval />
                      <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                        <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">b<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript></Span>
                      </id>
                    </apply>
                    <real>2</real>
                  </apply>
                </apply>
                <apply>
                  <pow />
                  <apply>
                    <absval />
                    <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                      <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
                    </id>
                  </apply>
                  <real>2</real>
                </apply>
              </apply>
              <apply>
                <pow />
                <apply>
                  <absval />
                  <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                    <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript></Span>
                  </id>
                </apply>
                <real>2</real>
              </apply>
            </apply>
            <apply>
              <pow />
              <apply>
                <absval />
                <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                  <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript></Span>
                </id>
              </apply>
              <real>2</real>
            </apply>
          </apply>
        </apply>
        <unitOverride>
          <placeholder />
        </unitOverride>
      </eval>
    </define>
    <resultFormat>
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" />
    </resultFormat>
  </math>
</region>

6. normi 함수를 사용하여 행렬 M의 무한 놈을 구합니다.

또는 max 함수를 사용하여 행렬 M의 절대 행 합의 최대값을 계산합니다.

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  <math resultRef="66">
    <define xmlns="http://schemas.mathsoft.com/math50">
      <id labels="VARIABLE" xml:space="preserve">
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      </id>
      <apply>
        <plus />
        <apply>
          <plus />
          <apply>
            <absval />
            <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
              <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">a<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
            </id>
          </apply>
          <apply>
            <absval />
            <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
              <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">a<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript></Span>
            </id>
          </apply>
        </apply>
        <apply>
          <absval />
          <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
            <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">a<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript></Span>
          </id>
        </apply>
      </apply>
    </define>
    <resultFormat>
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" />
    </resultFormat>
  </math>
</region>

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        <apply>
          <absval />
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    </define>
    <resultFormat>
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" />
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  </math>
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      </id>
      <apply>
        <plus />
        <apply>
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          <apply>
            <absval />
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          <apply>
            <absval />
            <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
              <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript></Span>
            </id>
          </apply>
        </apply>
        <apply>
          <absval />
          <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
            <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript></Span>
          </id>
        </apply>
      </apply>
    </define>
    <resultFormat>
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" />
    </resultFormat>
  </math>
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    <define xmlns="http://schemas.mathsoft.com/math50">
      <id labels="VARIABLE" xml:space="preserve">
        <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">N<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">i</Subscript></Span>
      </id>
      <eval>
        <apply>
          <id labels="FUNCTION" xml:space="preserve" label-is-contextual="true">max</id>
          <sequence>
            <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
              <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">ARS<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
            </id>
            <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
              <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">ARS<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript></Span>
            </id>
            <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
              <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">ARS<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript></Span>
            </id>
          </sequence>
        </apply>
        <unitOverride>
          <placeholder />
        </unitOverride>
      </eval>
    </define>
    <resultFormat>
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" />
    </resultFormat>
  </math>
</region>

7. det 함수를 사용하여 행렬 M의 행렬식을 구합니다.

또는 행렬 M의 행렬식을 수동으로 계산합니다.

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  <math resultRef="76">
    <define xmlns="http://schemas.mathsoft.com/math50">
      <id labels="VARIABLE" xml:space="preserve">DET</id>
      <eval>
        <apply>
          <plus />
          <apply>
            <minus />
            <apply>
              <mult />
              <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">a<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
              </id>
              <parens>
                <apply>
                  <minus />
                  <apply>
                    <mult />
                    <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                      <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">b<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript></Span>
                    </id>
                    <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                      <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript></Span>
                    </id>
                  </apply>
                  <apply>
                    <mult />
                    <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                      <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">b<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript></Span>
                    </id>
                    <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                      <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript></Span>
                    </id>
                  </apply>
                </apply>
              </parens>
            </apply>
            <apply>
              <mult />
              <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">a<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript></Span>
              </id>
              <parens>
                <apply>
                  <minus />
                  <apply>
                    <mult />
                    <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                      <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">b<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
                    </id>
                    <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                      <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript></Span>
                    </id>
                  </apply>
                  <apply>
                    <mult />
                    <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                      <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">b<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript></Span>
                    </id>
                    <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                      <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
                    </id>
                  </apply>
                </apply>
              </parens>
            </apply>
          </apply>
          <apply>
            <mult />
            <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
              <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">a<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript></Span>
            </id>
            <parens>
              <apply>
                <minus />
                <apply>
                  <mult />
                  <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                    <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">b<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
                  </id>
                  <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                    <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript></Span>
                  </id>
                </apply>
                <apply>
                  <mult />
                  <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                    <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">b<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript></Span>
                  </id>
                  <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                    <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
                  </id>
                </apply>
              </apply>
            </parens>
          </apply>
        </apply>
        <unitOverride>
          <placeholder />
        </unitOverride>
      </eval>
    </define>
    <resultFormat>
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" />
    </resultFormat>
  </math>
</region>

8. norm 함수를 사용하여 행렬 M의 열 0 요소를 포함하는 벡터의 놈을 구합니다.

이 식을 복사하려면 클릭

<region id="ID0EFQUEB" actualWidth="109.26666666666668" actualHeight="69.37360000000001" top="1497.6000000000001" left="38.400000000000006" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="78">
    <define xmlns="http://schemas.mathsoft.com/math50">
      <id labels="VARIABLE" xml:space="preserve">v</id>
      <eval>
        <matrix rows="3" cols="1">
          <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
            <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">a<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
          </id>
          <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
            <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">b<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
          </id>
          <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
            <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
          </id>
        </matrix>
        <unitOverride>
          <placeholder />
        </unitOverride>
      </eval>
    </define>
  </math>
</region>

또는 벡터 v의 놈을 수동으로 계산합니다.

<region id="ID0EKRUEB" actualWidth="207.04933364629747" actualHeight="36.780453040075308" top="1632.0000000000002" left="38.400000000000006" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="82">
    <define xmlns="http://schemas.mathsoft.com/math50">
      <id labels="VARIABLE" xml:space="preserve">N</id>
      <eval>
        <apply>
          <nthRoot />
          <placeholder />
          <apply>
            <plus />
            <apply>
              <plus />
              <apply>
                <pow />
                <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                  <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">a<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
                </id>
                <real>2</real>
              </apply>
              <apply>
                <pow />
                <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                  <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">b<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
                </id>
                <real>2</real>
              </apply>
            </apply>
            <apply>
              <pow />
              <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
              </id>
              <real>2</real>
            </apply>
          </apply>
        </apply>
        <unitOverride>
          <placeholder />
        </unitOverride>
      </eval>
    </define>
    <resultFormat>
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" />
    </resultFormat>
  </math>
</region>

관련 항목

정방 행렬의 놈

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