Question 17 Diagonalize the matrix A, if possible. That is, find an invertible matrix P and a diagonal matrix D such that A=PDP-1. [-11 3 -9] 0-50 6 -3 4 A = P= 5 3 1 P = 1 0 -1 P= 5 3 P = 1 0 -1 1 — om 0, D = 1 3 1 1 1 0, D = 0, D= 1 [1 5 -1] 3 0 D = 3 13 1 -5 0-50 0-5 T-5 0 0 0 0-2 0-5 ܘ ܘ -5 ܘ ܘ ܟ NON 01 00-2 -5 0 0-5 0 0 0-2
Question 17 Diagonalize the matrix A, if possible. That is, find an invertible matrix P and a diagonal matrix D such that A=PDP-1. [-11 3 -9] 0-50 6 -3 4 A = P= 5 3 1 P = 1 0 -1 P= 5 3 P = 1 0 -1 1 — om 0, D = 1 3 1 1 1 0, D = 0, D= 1 [1 5 -1] 3 0 D = 3 13 1 -5 0-50 0-5 T-5 0 0 0 0-2 0-5 ܘ ܘ -5 ܘ ܘ ܟ NON 01 00-2 -5 0 0-5 0 0 0-2
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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