1. (9pts) Diagonalize the matrix below by the following steps: 2 2 A: 1 3 -1 eigenvalues are λ = 5, 1. -1 -2 2 (a) (5pts) Find the matrix P. (b) (2pts) Find the diagonal matrix D. (c) (2pts) Check that AP = PD.
1. (9pts) Diagonalize the matrix below by the following steps: 2 2 A: 1 3 -1 eigenvalues are λ = 5, 1. -1 -2 2 (a) (5pts) Find the matrix P. (b) (2pts) Find the diagonal matrix D. (c) (2pts) Check that AP = PD.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.CM: Cumulative Review
Problem 10CM: Find ATA for the matrix A=[531246]. Show that this product is symmetric.
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