Diagonalize the following matrix. One eigenvalue is = 3 and one eigenvector is (- 1,3,2). 9 9 - 8 -18 -24 24 - 12 - 18 19 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. -20 0 For P = D= 0 3 0 0 0 (Type an integer or simplified fraction for each matrix element.) В. 16 0 0 For P = 16 0 0 0 3 (Type an integer or simplified fraction for each matrix element.) O c. The matrix cannot be diagonalized.
Diagonalize the following matrix. One eigenvalue is = 3 and one eigenvector is (- 1,3,2). 9 9 - 8 -18 -24 24 - 12 - 18 19 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. -20 0 For P = D= 0 3 0 0 0 (Type an integer or simplified fraction for each matrix element.) В. 16 0 0 For P = 16 0 0 0 3 (Type an integer or simplified fraction for each matrix element.) O c. The matrix cannot be diagonalized.
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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Diagonalize the following matrix. One eigenvalue is (see pic) = 3 and one eigenvector is (-1,3,2)
Transcribed Image Text:Diagonalize the following matrix. One eigenvalue is = 3 and one eigenvector is (- 1,3,2).
9
9 - 8
-18 -24
24
- 12 - 18 19
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
-20 0
For P =
D=
0 3 0
0 0
(Type an integer or simplified fraction for each matrix element.)
В.
16
0 0
For P =
16 0
0 0 3
(Type an integer or simplified fraction for each matrix element.)
O c. The matrix cannot be diagonalized.
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