Orthogonally diagonalize the matrix by finding an orthogonal matrix Q and a diagonal matrix D such that QTAQ = D. (Enter each matrix in the form [[row 1], [row 2], ...], where each row is a comma-separated list.) A = 42 24 (D, Q) = [5,0],[7,0],[— 1 1 √2'√2 ] [ 1 1 √2'√2
Orthogonally diagonalize the matrix by finding an orthogonal matrix Q and a diagonal matrix D such that QTAQ = D. (Enter each matrix in the form [[row 1], [row 2], ...], where each row is a comma-separated list.) A = 42 24 (D, Q) = [5,0],[7,0],[— 1 1 √2'√2 ] [ 1 1 √2'√2
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 28RE
Question
need help 5.4
![Orthogonally diagonalize the matrix by finding an orthogonal matrix Q and a diagonal matrix D such that QTAQ = D. (Enter each matrix in the form [[row 1], [row 2], ...], where each row is a comma-separated list.)
A =
42
24
(D, Q) =
[5,0],[7,0],[—
1
1
√2'√2
] [
1
1
√2'√2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff3cf874b-7a7b-478f-a7b8-421442e72224%2F507d10f9-27dd-40de-bc36-b565713c79e4%2Fcbkpa3i_processed.png&w=3840&q=75)
Transcribed Image Text:Orthogonally diagonalize the matrix by finding an orthogonal matrix Q and a diagonal matrix D such that QTAQ = D. (Enter each matrix in the form [[row 1], [row 2], ...], where each row is a comma-separated list.)
A =
42
24
(D, Q) =
[5,0],[7,0],[—
1
1
√2'√2
] [
1
1
√2'√2
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