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What is Eigenvalues and Eigenvectors Explained about?

Eigenvalues and eigenvectors have the following properties: 1) An eigenvector x is a vector where when a matrix A is multiplied by x, it only scales the vector by an eigenvalue λ rather than changing its direction. 2) Eigenvalues and eigenvectors are only defined for square matrices. 3) There can be multiple eigenvectors corresponding to the same eigenvalue. 4) To find the eigenpairs (eigenvalues and eigenvectors), one first computes the characteristic polynomial of the matrix and finds its roots as the

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mmszpeng

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EN