Diagonalize the following matrix. One eigenvalue is λ = 5 and one eigenvector is (-3,2,2). -4 6 6 -9 9 11 -6 6 -1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 26E
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Diagonalize the following matrix. One eigenvalue is λ = 5 and one eigenvector is (-3,2,2).
- 4
6
B.
CO
6
-9 9
11 - 6
6 - 1
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A.
-6 00
0 60
0 05
(Type an integer or simplified fraction for each matrix element.)
For P =
D=
- 4 00
050
005
(Type an integer or simplified fraction for each matrix element.)
For P =
D=
OC. The matrix cannot be diagonalized.
Transcribed Image Text:Diagonalize the following matrix. One eigenvalue is λ = 5 and one eigenvector is (-3,2,2). - 4 6 B. CO 6 -9 9 11 - 6 6 - 1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. -6 00 0 60 0 05 (Type an integer or simplified fraction for each matrix element.) For P = D= - 4 00 050 005 (Type an integer or simplified fraction for each matrix element.) For P = D= OC. The matrix cannot be diagonalized.
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