Let A = (a) Find a matrix P that orthogonally diagonalizes A. (b) Find B = P-¹AP using the (correct) answer from (a). Enter the diagonal entries of B, in order, into answer box below. i.e., enter b11, b22, b33 (in that order). -- A) 눔 0 2 ㅌㅊ -1 -1 2 똘뚜 0 룷눔 너무 너무 아무 o 뽈뚜이 (B) (F) 쭈- 똘 쭈쭈쭈쭈 0 뚜뚜 살 오스 뿌뿌 。 | | (G) 0 뿌뿌뿌 굶룹 - 뚜 - - 룷 눕 -- 0 쭈 (D) -- (H) 0 0 굶 ㅎㅎ 살하 쭈쭈- 우우

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.7: Solving Systems With Inverses
Problem 3SE: Can you explain whether a 2×2 matrix with an entire row of zeros can have an inverse?
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Question
Let
A =
(A)
(a) Find a matrix P that orthogonally diagonalizes A.
(b) Find B = P-1AP using the (correct) answer from (a). Enter the diagonal entries of B, in order, into t
answer box below. i.e., enter b11, b22, 633 (in that order).
(E)
하
2
-1
2
-1
-1 -1 2
쭈쭈- 쫀
0
0
굶
쭈
굶
-+-+
수 쭈
굵
늉
- 뚜
쭈- 쫄
- F
B ㅎㅎ
훑
- -
눔
0
-++-+
- 뚜
2
Jo ㅇㅎ
0
ㅎ
⑥⑤ ㅊ
(G)
쫄 쭈- 쫀
0
너무 너무 세무
-
-ħ
뚜뚜뚜
수
우수활
。
ㅊ (⑩)
쭈쭈-
륭
- 뚜
⑥눔
- 뚜
쏠쁜
쏙쏙 쏙쏙 뽈
0
- -
0
굶
|----
ㅎ
륭
Transcribed Image Text:Let A = (A) (a) Find a matrix P that orthogonally diagonalizes A. (b) Find B = P-1AP using the (correct) answer from (a). Enter the diagonal entries of B, in order, into t answer box below. i.e., enter b11, b22, 633 (in that order). (E) 하 2 -1 2 -1 -1 -1 2 쭈쭈- 쫀 0 0 굶 쭈 굶 -+-+ 수 쭈 굵 늉 - 뚜 쭈- 쫄 - F B ㅎㅎ 훑 - - 눔 0 -++-+ - 뚜 2 Jo ㅇㅎ 0 ㅎ ⑥⑤ ㅊ (G) 쫄 쭈- 쫀 0 너무 너무 세무 - -ħ 뚜뚜뚜 수 우수활 。 ㅊ (⑩) 쭈쭈- 륭 - 뚜 ⑥눔 - 뚜 쏠쁜 쏙쏙 쏙쏙 뽈 0 - - 0 굶 |---- ㅎ 륭
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