Let A be a 3 x 3 diagonalizable matrix whose eigenvalues are 11 = 2, 12 = -1, and 13 = -4. If V1 = [1 o 0], v2 = [1 1 0], V3 = [0 1 1] are eigenvectors of A corresponding to å1, 12, and 13 , respectively, then factor A into a product XDX- with D diagonal, and use this factorization to find A. 32 AS : 1 -1025 -243

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A: Our objective is given below:

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A: Use the given matrix.