Eigensystem
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Reference: http://reference.wolfram.com/legacy/v4-zh/Built-inFunctions/ListsAndMatrices/MatrixOperations/Eigenvectors.html
These are the eigenvalues of a 2 x 2 matrix.
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These are the eigenvectors of the matrix.
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This lists the eigenvalues and the eigenvectors for the matrix. The eigenvalues are listed first.
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This verifies the result for the first eigenvalue and its corresponding eigenvector.
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Using Eigensystem to diagonalize a matrix 使用来对角化一个矩阵.
Matrices with non-repeated eigenvalues can be diagonalized usingEigensystem. The eigenvalues give the diagonalized form. The columns of the change of basis matrixb are the eigenvectors.
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We check the diagonalization.
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