Given the matrix 6 0 0 A= 0 2 2 0 2 2 find an orthogonal diagonalization of A: A = QDQ"
Given the matrix 6 0 0 A= 0 2 2 0 2 2 find an orthogonal diagonalization of A: A = QDQ"
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![Given the matrix
A =
0 2 2
0 2 2
find an orthogonal diagonalization of A:
A = QDQ"
Enter each matrix Q and D in the format [[a11 , a12 , a13] , [a21 , a22 , a23] , [a31, a32, a33]].
Note: if you need to enter a square root of a number x you can do it as follows: sqrt (x). Alternatively, you can compute matrix entries in the decimal form
rounded to 3 decimal places, and enter them in this.
Matrix Q:
Matrix D:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb493ecdd-cbdc-400d-a05a-de2010eb2d52%2Fd48ebb1c-a151-413d-a00b-f3dfcb4d337d%2Fzfo5ckm_processed.png&w=3840&q=75)
Transcribed Image Text:Given the matrix
A =
0 2 2
0 2 2
find an orthogonal diagonalization of A:
A = QDQ"
Enter each matrix Q and D in the format [[a11 , a12 , a13] , [a21 , a22 , a23] , [a31, a32, a33]].
Note: if you need to enter a square root of a number x you can do it as follows: sqrt (x). Alternatively, you can compute matrix entries in the decimal form
rounded to 3 decimal places, and enter them in this.
Matrix Q:
Matrix D:
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