Let A be a 3 x 3 diagonalizable matrix whose eigenvalues are A, = -1, A2 = -2, and A3 = -4. If V1 = [1 0 0], v2 = [1 1 0], V3 = [0 1 1] %3D are eigenvectors of A corresponding to A1. A2, and Ag, respectively, then factor A into a product XDX 1 with D diagonal, and use this factorization to find A5. A5
Let A be a 3 x 3 diagonalizable matrix whose eigenvalues are A, = -1, A2 = -2, and A3 = -4. If V1 = [1 0 0], v2 = [1 1 0], V3 = [0 1 1] %3D are eigenvectors of A corresponding to A1. A2, and Ag, respectively, then factor A into a product XDX 1 with D diagonal, and use this factorization to find A5. A5
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section: Chapter Questions
Problem 12RQ
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