Let A be a 3 x 3 diagonalizable matrix whose eigenvalues are X 4 A 1 and X3 1 If V 1 0 0 V2 1 1 0 V3 0 1 1 are eigenvectors of A

Question

Let A be a 3 x 3 diagonalizable matrix whose eigenvalues are X 4 A 1 and X3 1 If V 1 0 0 V2 1 1 0 V3 0 1 1 are eigenvectors of A corresponding to 2 and 3 respectively then factor A into a product XDX with D diagonal and use this factorization to find

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