a matrix A is given. Find, if possible, an invertible matrix P and a diagonal matrix D such that A = PDP 1. Otherwise, explain why A is not diagonalizable. -1 2 -1 0 -3 1 0 0 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.6: The Algebra Of Matrices
Problem 13E
icon
Related questions
Question
a matrix A is given. Find, if possible, an
invertible matrix P and a diagonal matrix D such that A =
PDP 1. Otherwise, explain why A is not diagonalizable.
-1
2
-1
0
-3
1
0
0
2
Transcribed Image Text:a matrix A is given. Find, if possible, an invertible matrix P and a diagonal matrix D such that A = PDP 1. Otherwise, explain why A is not diagonalizable. -1 2 -1 0 -3 1 0 0 2
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning