2 1 -1 -1 4 -1 1 2 = 1 -1 0 -1 1 -1 0 -1 1 300 0 -1 -1 020 -1 −1 −1 003 -1 -1 0

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter1: Introduction To Algebra
Section1.5: Translating Sentences Into Equations
Problem 5MRE
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2. The matrix A is factored in the form PDP^−1. Use the Diagonalization Theorem to find the eigenvalues

of A and a basis for each eigenspace.

2
1
-1
-1
4
-1
1
2
=
1
-1
0
-1
0
1 -1
1
-1
3 0
00
0 2 0
0 03
0 -1 -1
-1
-1
−1
-1 -1
0
Transcribed Image Text:2 1 -1 -1 4 -1 1 2 = 1 -1 0 -1 0 1 -1 1 -1 3 0 00 0 2 0 0 03 0 -1 -1 -1 -1 −1 -1 -1 0
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