For the matrices A, verify the given vectors, X, Y and Z, are eigenvectors and find a formula for A^n B, where B = [1, 1, 2]^T. a) [4 2 2 -1 1 -1 1 1 3] X = [1 0 -2] Y = [0 1 1] Z = [1 1 1] b) [2 -1 -1 2 5 1 -2 -1 3] X = [1 0 -1] Y = [2 1 1] Z = [1 1 0]
Show transcribed image textFor the matrices A, verify the given vectors, X, Y and Z, are eigenvectors and find a formula for A^n B, where B = [1, 1, 2]^T. a) [4 2 2 -1 1 -1 1 1 3] X = [1 0 -2] Y = [0 1 1] Z = [1 1 1] b) [2 -1 -1 2 5 1 -2 -1 3] X = [1 0 -1] Y = [2 1 1] Z = [1 1 0]