- 1 Diagonalize the matrix A, if possible. That is, find an invertible matrix P and a diagonal matrix D such that A= PDP 1 1 4 A = 0 -4 -5 -1 - 8 ..... A. В. -4 -1 - 1 - 4 1 0 -1 -4 0 P = D = 0 - 4 P = 0 - 4 D = 0 1 1 0 - 3 1 1 1 0 0 - 3 C. O D. Not diagonalizable 1 -9 - 1 - 4 1 P = - 9 - 4 ,D= 0 -4 1 - 4 1 0 - 3 LO LO

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Diagonalize the matrix A, if possible. That is, find an invertible matrix P and a diagonal matrix D such that A= PDP'.
1
1
4
A =
- 4
- 5
- 1
- 8
.....
O A.
- 1
- 4
O B.
-4 0
- 4 - 1
1
- 1
P =
D =
- 4
P =
- 4
0 1
1
0 - 3
1
1
1
0 0 - 3
Oc.
O D. Not diagonalizable
1
- 9
- 1
- 4
1
P =
- 9
- 4
D =
- 4
1
- 4
1
0 - 3
LO
Transcribed Image Text:Diagonalize the matrix A, if possible. That is, find an invertible matrix P and a diagonal matrix D such that A= PDP'. 1 1 4 A = - 4 - 5 - 1 - 8 ..... O A. - 1 - 4 O B. -4 0 - 4 - 1 1 - 1 P = D = - 4 P = - 4 0 1 1 0 - 3 1 1 1 0 0 - 3 Oc. O D. Not diagonalizable 1 - 9 - 1 - 4 1 P = - 9 - 4 D = - 4 1 - 4 1 0 - 3 LO
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