3. Diagonalize the following matrix: [2 1 01 1 2 Lo 1] [3 0 A. 0 1 Lo o [1 = [0 2. 1 2 Lo o 1 1 1 0][1 1 1 0||0 1] L2 -1 -1 -1 -1 | 12 1 1 [3 В. |0 1 01 0 1 0 2] 1 1 2 1 01[ 1 -1 2 1 1 2 | Lo -1 2. Lo 1] -1 | [3 0 01 C. 0 1 0 0 1 [2 1 1 2 0] [1 1 0 1l lo [1 1 1 = |1 0 -1 0 1 %3| 1 1 1 D. Not diagonalizable
3. Diagonalize the following matrix: [2 1 01 1 2 Lo 1] [3 0 A. 0 1 Lo o [1 = [0 2. 1 2 Lo o 1 1 1 0][1 1 1 0||0 1] L2 -1 -1 -1 -1 | 12 1 1 [3 В. |0 1 01 0 1 0 2] 1 1 2 1 01[ 1 -1 2 1 1 2 | Lo -1 2. Lo 1] -1 | [3 0 01 C. 0 1 0 0 1 [2 1 1 2 0] [1 1 0 1l lo [1 1 1 = |1 0 -1 0 1 %3| 1 1 1 D. Not diagonalizable
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![3. Diagonalize the following matrix:
1
2 0
1.
1
1
01
2 0||0
1] L2
[1
1
1
1
1
A.
0 1
= 10
-1
-1
1
-1
-1
[2
1
-1
[3
1
1
01
[2 1
01[ 1
1 01
-1
2
1
1
2
0|
2
1
-1.
2.
1.
-1
21
-1
[2
[3 _0 0]
C. 0
0] [1 0
0||1
1] Lo
1
1
1
1
0| = |1
1]
1
-1
2
-1
1
-1
-1
D. Not diagonalizable
B.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc4b4b031-d816-4320-a24d-9550c0d66413%2F9ae80139-0570-498a-9ea1-fe203fcdc14b%2Fwi2e64f_processed.png&w=3840&q=75)
Transcribed Image Text:3. Diagonalize the following matrix:
1
2 0
1.
1
1
01
2 0||0
1] L2
[1
1
1
1
1
A.
0 1
= 10
-1
-1
1
-1
-1
[2
1
-1
[3
1
1
01
[2 1
01[ 1
1 01
-1
2
1
1
2
0|
2
1
-1.
2.
1.
-1
21
-1
[2
[3 _0 0]
C. 0
0] [1 0
0||1
1] Lo
1
1
1
1
0| = |1
1]
1
-1
2
-1
1
-1
-1
D. Not diagonalizable
B.
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