Problem #6: Let A = (a) Find a matrix P that diagonalizes A. (b) Find P¹AP [using your answer from (a)]. (4) 4 0 050 0 05 1 (၆) 0 0 4 1 0 0 0 1 7 (A) | 0 0 Problem #6(b): . Problem #6(a): Select v (G) | 0 0 4 1 0 1 1 0 7 ဖ ဖ 7 0 Select v ဝ ဖ 4 -4 0 4 7 (B) | 1 1 (H) | 0 0 4 (B) | 0 . 0 1 5 (H) | 0 0 0 5 1 0 1 ဖ 5 ဖ 7 0 (C) --- 5 0 0 ဖြည့် 1 5 0 0 4 110 4 0 -1 0 5 ကြားရ 1 ရှိပြီး ကြည့်၍ ကြားကြား (D)] o 5 0 7 7 05 ထား၍ 1 (F) 0 (E) 5 1 2
Problem #6: Let A = (a) Find a matrix P that diagonalizes A. (b) Find P¹AP [using your answer from (a)]. (4) 4 0 050 0 05 1 (၆) 0 0 4 1 0 0 0 1 7 (A) | 0 0 Problem #6(b): . Problem #6(a): Select v (G) | 0 0 4 1 0 1 1 0 7 ဖ ဖ 7 0 Select v ဝ ဖ 4 -4 0 4 7 (B) | 1 1 (H) | 0 0 4 (B) | 0 . 0 1 5 (H) | 0 0 0 5 1 0 1 ဖ 5 ဖ 7 0 (C) --- 5 0 0 ဖြည့် 1 5 0 0 4 110 4 0 -1 0 5 ကြားရ 1 ရှိပြီး ကြည့်၍ ကြားကြား (D)] o 5 0 7 7 05 ထား၍ 1 (F) 0 (E) 5 1 2
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
Problem 8AEXP
Related questions
Question
![Problem #6: Let
A =
1
(A) 1
(a) Find a matrix P that diagonalizes A.
(b) Find P¹AP [using your answer from (a)].
(G) | 0
0
4
(A) | 0
0 7
0
5
0
0 0 5
(G) | 0
0
1
Problem #6(a): Select v
0 4
1
0
o e
Problem #6(b): Select
to-
ဖ
0
1
7
0
7 0
4
106
(B) | 1
-4
0
4
111
1
(H) | o
0
(B)
4
ဖ
ဖ
ဖ
1
1
5
(H) | 0
0
---
050
0
5
0
0
(
ပြီး
00
0
5
4
1 0
4
ကြာ ကြည်ကြည်ကြ
(C)
1
0
0
(C)
0
(D)
0
0
0
7
(E)
0
5
0
0
5
0
1
(F)
(F)] 0
1
0
5
ဖ
ခ
0
ဖ
5
7
1
ရ](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbd3c3147-011e-442a-8bf9-af3591b7ce73%2Fa1bc5b97-a2fc-486a-a100-a76ade5cdf6d%2Fa4rg5o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem #6: Let
A =
1
(A) 1
(a) Find a matrix P that diagonalizes A.
(b) Find P¹AP [using your answer from (a)].
(G) | 0
0
4
(A) | 0
0 7
0
5
0
0 0 5
(G) | 0
0
1
Problem #6(a): Select v
0 4
1
0
o e
Problem #6(b): Select
to-
ဖ
0
1
7
0
7 0
4
106
(B) | 1
-4
0
4
111
1
(H) | o
0
(B)
4
ဖ
ဖ
ဖ
1
1
5
(H) | 0
0
---
050
0
5
0
0
(
ပြီး
00
0
5
4
1 0
4
ကြာ ကြည်ကြည်ကြ
(C)
1
0
0
(C)
0
(D)
0
0
0
7
(E)
0
5
0
0
5
0
1
(F)
(F)] 0
1
0
5
ဖ
ခ
0
ဖ
5
7
1
ရ
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