Let A be a 3 x 3 diagonalizable matrix whose eigenvalues are λ₁ = −3, A₂ = 4, and Ag = 2. If V₁ = [1 0 0], v₂ = [1 1 0], vş = [0_1_1] are eigenvectors of A corresponding to A₁, A2, and X3, respectively, then factor A into a product XDX-¹ with D diagonal, and use this factorization to find 45. A³ = JU DOC

Let A be a 3 x 3 diagonalizable matrix whose eigenvalues are λ₁ = −3, A₂ = 4, and Ag = 2. If V₁ = [1 0 0], v₂ = [1 1 0], vş = [0_1_1] are eigenvectors of A corresponding to A₁, A2, and X3, respectively, then factor A into a product XDX-¹ with D diagonal, and use this factorization to find 45. A³ = JU DOC

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.1: Eigenvalues And Eigenvectors

Problem 55E

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