4 = (a) Find a matrix P that diagonalizes A. (b) Find Pr1AP [using your answer from (a)]. (4) | 0 1 10 5 1 (G) 1 Problem #6(a): [Select 4 0 0 9 5 0 005 (၆) 0 Problem #6(b): Select 0 9 0 (4) 0 9 0 0 1 0 11 0 (B) | 1 0 -9 5 0 . . . 5 0 10 9 0 -1 1 (H) 0 0 5 (B) | 0 ဂ 5 (H) | 0 ဖ 1 1 0 1 ဖ 1 1 0 1 0 0 5 09 (C) ] ဂ ဝ ဝ 9 5 _ 0 | (C) ] ဂ 0 4 9 0 (D) 1 10 1 01 ဝ ဝ 50 05 1 0 0 | (E) 1 1 0 9 (D) 09 0 0 ဝ . . 10 1 ဝ ဝ 5 0 | (F) | 1 40 0 0 | (E) | 0 5 ထားရှိကြော 4 0 0 5 4 ဖ 0 | (F) | 0 9 0 09
4 = (a) Find a matrix P that diagonalizes A. (b) Find Pr1AP [using your answer from (a)]. (4) | 0 1 10 5 1 (G) 1 Problem #6(a): [Select 4 0 0 9 5 0 005 (၆) 0 Problem #6(b): Select 0 9 0 (4) 0 9 0 0 1 0 11 0 (B) | 1 0 -9 5 0 . . . 5 0 10 9 0 -1 1 (H) 0 0 5 (B) | 0 ဂ 5 (H) | 0 ဖ 1 1 0 1 ဖ 1 1 0 1 0 0 5 09 (C) ] ဂ ဝ ဝ 9 5 _ 0 | (C) ] ဂ 0 4 9 0 (D) 1 10 1 01 ဝ ဝ 50 05 1 0 0 | (E) 1 1 0 9 (D) 09 0 0 ဝ . . 10 1 ဝ ဝ 5 0 | (F) | 1 40 0 0 | (E) | 0 5 ထားရှိကြော 4 0 0 5 4 ဖ 0 | (F) | 0 9 0 09
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.1: Algebra Of 2 X 2 Matrices
Problem 46PS
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Please show step-by-step solution and do not skip steps. Explain your entire process in great detail. Explain how you reached the answer you did.
![Problem #6: Let
A =
Problem #6(a):
1
(A) 0
1
(G) 1
(a) Find a matrix P that diagonalizes A.
(b) Find P-¹AP [using your answer from (a)].
Problem #6(b):
0 5
1
0
0 1
0
5 0
00 5
(A) 0
0
0
4
(G) 0
0
Select V
9 0
9
0
Select
0 4
1 0 (H) 0
1
1
0
0
5
0
0
1
(B) 1
1
0
5
0 9
1
0
-1
0
1
0 1
5 0
(B) 0 5
(H) 0
0
5 0
4
0
0
0
4
5 0
09
1 0 9
1
0 1
(C) 0
9
(C) 0
0
1
0 (D) 1
0
5
0
0
0
5
9
(D) 0
0
0
4
1 0
0 1
0 0
9
0
0
4
(E) 1
(E) 0
05]
1
0
1 0 (F) 1 1
0 1
0 0
0
5
0
0
0
5
4
(F) 0
0
9
4
0
0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3cb378ba-be87-4838-bd31-84fa6b2aaf1f%2F40139d9d-f031-445b-a77e-6191ad203cb0%2Fpkppp5v_processed.png&w=3840&q=75)
Transcribed Image Text:Problem #6: Let
A =
Problem #6(a):
1
(A) 0
1
(G) 1
(a) Find a matrix P that diagonalizes A.
(b) Find P-¹AP [using your answer from (a)].
Problem #6(b):
0 5
1
0
0 1
0
5 0
00 5
(A) 0
0
0
4
(G) 0
0
Select V
9 0
9
0
Select
0 4
1 0 (H) 0
1
1
0
0
5
0
0
1
(B) 1
1
0
5
0 9
1
0
-1
0
1
0 1
5 0
(B) 0 5
(H) 0
0
5 0
4
0
0
0
4
5 0
09
1 0 9
1
0 1
(C) 0
9
(C) 0
0
1
0 (D) 1
0
5
0
0
0
5
9
(D) 0
0
0
4
1 0
0 1
0 0
9
0
0
4
(E) 1
(E) 0
05]
1
0
1 0 (F) 1 1
0 1
0 0
0
5
0
0
0
5
4
(F) 0
0
9
4
0
0
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