Diagonalize the following matrix. The real eigenvalues are given to the right of the matrix. 7 0 - 12 4 11 12 ;1 = 7, 11 0 0 11 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 7 0 0 D=0 11 O A. For P = 0 1 7 0 O B. For P= D=0 7 0 0 11 Oc. The matrix cannot be diagonalized.

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 2BEXP
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5.3.14
Diagonalize the following matrix. The real eigenvalues are given to the right of the matrix.
7 0 - 12
12 ;2 = 7, 11
4 11
11
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
7 0 0
D=0 11
O A. For P=
0 11
7 0
B. For P =
D=0 7
0 0 11
Oc. The matrix cannot be diagonalized.
Transcribed Image Text:5.3.14 Diagonalize the following matrix. The real eigenvalues are given to the right of the matrix. 7 0 - 12 12 ;2 = 7, 11 4 11 11 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 7 0 0 D=0 11 O A. For P= 0 11 7 0 B. For P = D=0 7 0 0 11 Oc. The matrix cannot be diagonalized.
Score: 0 of 1 pt
7 of 13 (10 complete)
X 5.3.12
Diagonalize the following matrix. The real eigenvalues are given to the right of the matrix.
2 3 3
3 2 3 ;1= - 1, 8
3 3 2
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
-100
O A. For P=
0 8 0
0 0 8
- 1
0 0
O B. For P =, D =
0 - 1 0
0 8
Oc. The matrix cannot be diagonalized.
Transcribed Image Text:Score: 0 of 1 pt 7 of 13 (10 complete) X 5.3.12 Diagonalize the following matrix. The real eigenvalues are given to the right of the matrix. 2 3 3 3 2 3 ;1= - 1, 8 3 3 2 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. -100 O A. For P= 0 8 0 0 0 8 - 1 0 0 O B. For P =, D = 0 - 1 0 0 8 Oc. The matrix cannot be diagonalized.
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