Problem #6: Let Problem #6(a): A = 0 (A) 1 1 (a) Find a matrix P that diagonalizes A. (b) Find P-¹AP [using your answer from (a)]. Problem #6(b): 8 0 10 9 0 9 1 0 8 1 0 10 (G) 0 1 0 00 1 Select 10 (A) 0 0 19 (F) 0 00 [1 0 8 1 0 (B) 1 1 0 1 1 0 0 -1 Select 0 0 9 0 0 9 0 0 9 0 0 0 10 1 (H) 1 0 010 8 0 (B) 0 10 8 (G) 0 0 060 8 0 1 9 ooo 0 0 10 0 0 1 0 1 (C) 1 -10] 0 9 (C) 900,00 0 10 0 1 -1 8 COO 0 0 9 0 (H) 0 9 0 8 0 0 0 (D) 1 (D) 1 ܘ ܘ ܘ 1 0 (E) 0 10 0 0 0 9 1 1 0 1 0 -8 10 0 0 8 0 9 1 0 0 1 1 10 0 1 (F) 0 0 (E) 0 10 0 0 0 8:] ܘ ܘ 0 8 1 0 0
Problem #6: Let Problem #6(a): A = 0 (A) 1 1 (a) Find a matrix P that diagonalizes A. (b) Find P-¹AP [using your answer from (a)]. Problem #6(b): 8 0 10 9 0 9 1 0 8 1 0 10 (G) 0 1 0 00 1 Select 10 (A) 0 0 19 (F) 0 00 [1 0 8 1 0 (B) 1 1 0 1 1 0 0 -1 Select 0 0 9 0 0 9 0 0 9 0 0 0 10 1 (H) 1 0 010 8 0 (B) 0 10 8 (G) 0 0 060 8 0 1 9 ooo 0 0 10 0 0 1 0 1 (C) 1 -10] 0 9 (C) 900,00 0 10 0 1 -1 8 COO 0 0 9 0 (H) 0 9 0 8 0 0 0 (D) 1 (D) 1 ܘ ܘ ܘ 1 0 (E) 0 10 0 0 0 9 1 1 0 1 0 -8 10 0 0 8 0 9 1 0 0 1 1 10 0 1 (F) 0 0 (E) 0 10 0 0 0 8:] ܘ ܘ 0 8 1 0 0
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 3AEXP
Related questions
Question
![Problem #6: Let
Problem #6(a):
8
A = 0 9
0
(A) 1
1
(a) Find a matrix P that diagonalizes A.
(b) Find P-¹AP [using your answer from (a)].
1
(G) 0
1 0 8
1
0
1 1
Problem #6(b):
0 10
0
0 9
0 10
1
0
0 0
1
Select v
10 0
(A) 0 9
0 0 9
9 0 0
(F) 0 9 0
0 0 10
Select
1 0 8
(B) 1 1
0
0
8
0 (B) 0
0
1
(H) 1
0
(G) 0
0 -1
1
0 (C) 1
0 8
1 0
0 1
0
10
0
8 0
9
0 0
0
0
10
-10
0
9
0
10
1
0
1 -1
9 0
(C) 0 9
0
0
8
(H) 0
'80
8
0
0
9 0
0 0 9
1
0
(D) 1 1
1
0
9
106
(E) 0
0
10
0 -8
(D) 0 10 0
0 0
8
1 0
1
1 1
(E)
9
1
0 (F) 0
0
10
0
0
0
10
0
800
0
8
1
0
0 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3d49a1bf-def0-472f-94db-660c9693a140%2F4fd0fb16-6351-4bfc-983e-bc3ad0bce192%2Fftmbr2u_processed.png&w=3840&q=75)
Transcribed Image Text:Problem #6: Let
Problem #6(a):
8
A = 0 9
0
(A) 1
1
(a) Find a matrix P that diagonalizes A.
(b) Find P-¹AP [using your answer from (a)].
1
(G) 0
1 0 8
1
0
1 1
Problem #6(b):
0 10
0
0 9
0 10
1
0
0 0
1
Select v
10 0
(A) 0 9
0 0 9
9 0 0
(F) 0 9 0
0 0 10
Select
1 0 8
(B) 1 1
0
0
8
0 (B) 0
0
1
(H) 1
0
(G) 0
0 -1
1
0 (C) 1
0 8
1 0
0 1
0
10
0
8 0
9
0 0
0
0
10
-10
0
9
0
10
1
0
1 -1
9 0
(C) 0 9
0
0
8
(H) 0
'80
8
0
0
9 0
0 0 9
1
0
(D) 1 1
1
0
9
106
(E) 0
0
10
0 -8
(D) 0 10 0
0 0
8
1 0
1
1 1
(E)
9
1
0 (F) 0
0
10
0
0
0
10
0
800
0
8
1
0
0 1
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