In Problems 1 through 28, determine whether or not the given matrix A is diagonalizable. If it is, find a diagonalizing matrix P and a diagonal matrix D such that P¯¹ AP = D. 5 -4 ¹ [231] 1. 6 6 2. [4] 3. 5 2 -3 0
In Problems 1 through 28, determine whether or not the given matrix A is diagonalizable. If it is, find a diagonalizing matrix P and a diagonal matrix D such that P¯¹ AP = D. 5 -4 ¹ [231] 1. 6 6 2. [4] 3. 5 2 -3 0
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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Number 1 please.
![In Problems 1 through 28, determine whether or not the given
matrix A is diagonalizable. If it is, find a diagonalizing matrix
P and a diagonal matrix D such that P-¹AP = D.
1.
[
5
2
1]
-4
2.
[
6
-6
$]
4 -4
3.
5
2
-3
P](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F44cf4428-d50c-4dc1-a095-73926c558c67%2F9094d47d-caef-4112-89ef-5b0ee973ec3a%2Fzz2if5k_processed.png&w=3840&q=75)
Transcribed Image Text:In Problems 1 through 28, determine whether or not the given
matrix A is diagonalizable. If it is, find a diagonalizing matrix
P and a diagonal matrix D such that P-¹AP = D.
1.
[
5
2
1]
-4
2.
[
6
-6
$]
4 -4
3.
5
2
-3
P
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