範例：尋找左側與右側本徵向量

函數 > 向量與矩陣 > 陣列特性 > 範例：尋找左側與右側本徵向量

範例：尋找左側與右側本徵向量

為避免在執行布林比較時發生邏輯不符的情況，請啟用「計算選項」下拉式清單中的「近似等式」。

1. 定義方形實際矩陣。

2. 使用 eigenval 的基本定義求解矩陣 A 的 lambda。

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  <math resultRef="28">
    <symEval xmlns="http://schemas.mathsoft.com/math50">
      <apply>
        <absval />
        <apply>
          <minus />
          <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">A</id>
          <apply>
            <mult />
            <id xml:space="preserve">λ</id>
            <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">I</id>
          </apply>
        </apply>
      </apply>
      <command>
        <id xml:space="preserve">factor</id>
      </command>
      <symResult>
        <apply>
          <mult />
          <parens>
            <apply>
              <plus />
              <id labels="*" xml:space="preserve">λ</id>
              <real>3</real>
            </apply>
          </parens>
          <parens>
            <apply>
              <minus />
              <id labels="*" xml:space="preserve">λ</id>
              <real>4</real>
            </apply>
          </parens>
        </apply>
      </symResult>
    </symEval>
    <formattingOverride BackgroundColor="#00FFFFFF" />
  </math>
</region>

3. 或者，使用函數 eigenvals 求解矩陣 A 的 lambda。

尋找右側本徵向量

1. 使用函數 eigenvecs 求解矩陣 A 的右側 (預設) 本徵向量。

2. 顯示關係 A x Rn = λn x Rn 為 true。

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關係是 true。

尋找左側本徵向量

1. 使用函數 eigenvecs 求解矩陣 A 的左側本徵向量。

2. 顯示關係 LnT x A = λn x LnT 為 true。

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此關係為真。

相關主題

本徵向量與本徵值

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