Diagonalize the matrix 1 0 A = -2 3 -1 -2 0 2 In other words, you need to find a diagonal matrix D and an invertible matrix P such that A = PDP-1. You don't have to compute P-1.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.7: Solving Systems With Inverses
Problem 5SE: Can a matrix with zeros on the diagonal have an inverse? If so, find an example. If not, prove why...
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Diagonalize the matrix
1 0
A = -2 3
-1
-1
-2 0
2
In other words, you need to find a diagonal matrix D and an invertible matrix P such
that A = PDP-1. You don't have to compute P-.
Transcribed Image Text:Diagonalize the matrix 1 0 A = -2 3 -1 -1 -2 0 2 In other words, you need to find a diagonal matrix D and an invertible matrix P such that A = PDP-1. You don't have to compute P-.
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