Eigenvectors

The egv or eigenvectors or eigenvects or eigVc command finds the eigenvectors of a diagonalizable matrix.

egv takes A, a square matrix.
egv(A) returns a matrix whose columns are the eigenvectors of the matrix A if A is diagonalizable, otherwise it will fail.

See also Section 15.2.5 for characteristic vectors.

egv([[1,1,3],[1,3,1],[3,1,1]])

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egv([[4,1,-2],[1,2,-1],[2,1,0]])

“Not diagonalizable at eigenvalue 2”

Input in complex mode:

egv([[2,0,0],[0,2,-1],[2,1,2]])

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