示例：求出左特征向量和右特征向量

函数 > 向量和矩阵 > 数组特征 > 示例：求出左特征向量和右特征向量

示例：求出左特征向量和右特征向量

要在进行布尔值比较时避免逻辑不匹配，请在计算选项下拉列表中启用约等。

1. 定义一个实方阵。

2. 使用特征值的基本定义求出矩阵 A 的 lambda。

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      <apply>
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            <mult />
            <id xml:space="preserve">λ</id>
            <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">I</id>
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      <command>
        <id xml:space="preserve">factor</id>
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              <minus />
              <id labels="VARIABLE" xml:space="preserve">λ</id>
              <real>4</real>
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          <parens>
            <apply>
              <plus />
              <id labels="VARIABLE" xml:space="preserve">λ</id>
              <real>3</real>
            </apply>
          </parens>
        </apply>
      </symResult>
    </symEval>
    <formattingOverride BackgroundColor="#00FFFFFF" />
  </math>
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3. 或者，使用函数 eigenvals 求出矩阵 A 的 lambda。

求解右特征向量

1. 使用函数 eigenvecs 求出矩阵 A 的右 (默认) 特征向量。

2. 计算 A x Rn 与 λn x Rn 之间的偏差。

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偏差为零。

求解左特征向量

1. 使用函数 eigenvecs 求出矩阵 A 的左特征向量。

2. 计算 LnT x A 与 λn x LnT 之间的偏差。

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偏差为零。