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Question

对于任何给定方阵\(\mathbf{A}\)，特征值\(\lambda\)都一定满足：[...]

并且特征向量\(x\)满足： [...]

Answer

特征值\(\lambda\)都一定满足

\(\det(\mathbf{A}-\lambda\mathbf{I})=\mathbf{0}\)

并且特征向量\(x\)满足

\((\mathbf{A}-\lambda\mathbf{I})x=0\)


Question

对于任何给定方阵\(\mathbf{A}\)，特征值\(\lambda\)都一定满足：[...]

并且特征向量\(x\)满足： [...]

Answer
?

Question

对于任何给定方阵\(\mathbf{A}\)，特征值\(\lambda\)都一定满足：[...]

并且特征向量\(x\)满足： [...]

Answer

特征值\(\lambda\)都一定满足

\(\det(\mathbf{A}-\lambda\mathbf{I})=\mathbf{0}\)

并且特征向量\(x\)满足

\((\mathbf{A}-\lambda\mathbf{I})x=0\)

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特征值和特征向量的计算方法
对于任何给定方阵\(\mathbf{A}\)，特征值\(\lambda\)都一定满足 \(\det(\mathbf{A}-\lambda\mathbf{I})=\mathbf{0}\) 并且特征向量\(x\)满足 \((\mathbf{A}-\lambda\mathbf{I})x=0\)

Summary

statusnot learnedmeasured difficulty37% [default]last interval [days]               
repetition number in this series0memorised on               scheduled repetition               
scheduled repetition interval               last repetition or drill

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