Diagonalize the following matrix. The real eigenvalues are given to the right of the matrix. 15 5] 5 1 5 a= - 4, 11 5 5 1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 0 0 O A. For P= D= 0 - 4 0 1 - 4 0 0 B. For P= D= 0 11 0 0 11 OC. The matrix cannot be diagonalized.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 12E
Question

q3

Diagonalize the following matrix. The real eigenvalues are given to the right of the matrix.
155
5 15 1= - 4, 11
5 5 1
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
- 4
O A. For P =
D=
0 -4
0 1
- 4
O B. For P=
D=
0 11
0 0 11
OC. The matrix cannot be diagonalized.
Transcribed Image Text:Diagonalize the following matrix. The real eigenvalues are given to the right of the matrix. 155 5 15 1= - 4, 11 5 5 1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. - 4 O A. For P = D= 0 -4 0 1 - 4 O B. For P= D= 0 11 0 0 11 OC. The matrix cannot be diagonalized.
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9781133382119
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Swokowski
Publisher:
Cengage