Problem #6: Let A = 0 (a) Find a matrix P that diagonalizes A. (b) Find PAP [using your answer from (a)]. [1 0 5 (A) 1 1 0 0 0 1 (G) 1 5 0 4 6 0 0 6 Problem #6(b): Problem #6(a): Select O (A) 0 0 0 1 0 [4 0 6 0 Select (B) 0 0 6 1 0 51 0 1 0 0 0 1 6 0 (H) 1 1 5 0 0 (G) 0 6 0 (H) 0 0 6 1 0 1 0 6 0 0 0 0 4 6 0 0 [] 0 6 0 0 0 5 [1 0 4 ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ (E) 0 1 1 0 0 1 [₁ 0 5 (C) 1 1 0 (D) 0 -1 4 0 0 [1¶[:][:][1][1] (B) 0 6 0 (C) 0 4 0 (D) 0 4 0 (E) 0 4 0 (F) 0 0 0 5 4 0 -5 1 0 0 5 5 0 0 (F) 0 0 4 5 0 0 6 0 0 -4 0 6
Problem #6: Let A = 0 (a) Find a matrix P that diagonalizes A. (b) Find PAP [using your answer from (a)]. [1 0 5 (A) 1 1 0 0 0 1 (G) 1 5 0 4 6 0 0 6 Problem #6(b): Problem #6(a): Select O (A) 0 0 0 1 0 [4 0 6 0 Select (B) 0 0 6 1 0 51 0 1 0 0 0 1 6 0 (H) 1 1 5 0 0 (G) 0 6 0 (H) 0 0 6 1 0 1 0 6 0 0 0 0 4 6 0 0 [] 0 6 0 0 0 5 [1 0 4 ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ (E) 0 1 1 0 0 1 [₁ 0 5 (C) 1 1 0 (D) 0 -1 4 0 0 [1¶[:][:][1][1] (B) 0 6 0 (C) 0 4 0 (D) 0 4 0 (E) 0 4 0 (F) 0 0 0 5 4 0 -5 1 0 0 5 5 0 0 (F) 0 0 4 5 0 0 6 0 0 -4 0 6
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,...
Related questions
Question
![Problem #6: Let
4 =
(A) | 1
| 0
Problem #6(a):
(a) Find a matrix P that diagonalizes A.
(b) Find P-¹AP [using your answer from (a)].
(C)] 1
1
Problem #6(b):
4
(A) | 0
0
5 0 4
0
6 0
0
0 6
[5
(G) / 0
0
0 5
1
0
0
1
Select O
0
1
0
0
6
0
0
6
0
0 0
6
0
6
Select C
0
0
6
(B) | 0
0
(H) | 1
6
(B) | 0
0
6
(H) | 0
0
0 57
1
0
0
0
6
0
0
1
5
0
0
4
0
0
6 0
0
5
(C)] 1
0
4
(C)] 0
0
5
1
0
0 -1
0 -5
4
0
0
5
1
(D) | 0
0
4
(D) | 0
0
0
1
1
0
4
0
0
1
01
0
5
(E) | 0
0
0
1
0
0
1
(F)
5 0 0
(E) | 0
ကြည်ဖြ
4 0 (F)] 0
0 0 4
4
0
5 0
:]
6 0
0 0 6](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3d49a1bf-def0-472f-94db-660c9693a140%2Fa81d3698-9d4c-4596-8f13-3e6fe1be2121%2F92obwn_processed.png&w=3840&q=75)
Transcribed Image Text:Problem #6: Let
4 =
(A) | 1
| 0
Problem #6(a):
(a) Find a matrix P that diagonalizes A.
(b) Find P-¹AP [using your answer from (a)].
(C)] 1
1
Problem #6(b):
4
(A) | 0
0
5 0 4
0
6 0
0
0 6
[5
(G) / 0
0
0 5
1
0
0
1
Select O
0
1
0
0
6
0
0
6
0
0 0
6
0
6
Select C
0
0
6
(B) | 0
0
(H) | 1
6
(B) | 0
0
6
(H) | 0
0
0 57
1
0
0
0
6
0
0
1
5
0
0
4
0
0
6 0
0
5
(C)] 1
0
4
(C)] 0
0
5
1
0
0 -1
0 -5
4
0
0
5
1
(D) | 0
0
4
(D) | 0
0
0
1
1
0
4
0
0
1
01
0
5
(E) | 0
0
0
1
0
0
1
(F)
5 0 0
(E) | 0
ကြည်ဖြ
4 0 (F)] 0
0 0 4
4
0
5 0
:]
6 0
0 0 6
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