Problem I Determine for which values of the real parameter a the following invertible. 1. 5. 9. 13. 17. a 11 a 10 1 1 1101 1 1 10 a 11 101 1 110 1 1 1 1 0 1 a 01 1 11 a 1 10 11 1a 01 1110 01 1011 a 101 1 1 10 1 2. 6. 10. 14. 18. 1 a 0 a 11 01 11 10 1 01 10 1 1 1 1 0 1 1 1 a 01 11 0 0 a 1 10 11 11 a 1 11 10 0 1 1 10 1 a 1 1 01 1 a 1 0 3. 7. 11. 15. 19. 1 1 1 1 011 a 10 a 1 10 a 1 1 0 1 1 0 111 011 a 1 0 1 011 10 a 1 0 1 a 1 011 10 a 0 1 0 111 a 011 1 101 1 1 a 0, 4. 8. 12. 16. 20. matrix is not 011 1 1011 110 1 a 11 a 0111 1 a 1 1 1 10 1 1 11 a 011 a 1011 1 101 a 110 011 a 101 1 a101 1110 0 a 11 101 1 1 10 a 1 1 1 0
Problem I Determine for which values of the real parameter a the following invertible. 1. 5. 9. 13. 17. a 11 a 10 1 1 1101 1 1 10 a 11 101 1 110 1 1 1 1 0 1 a 01 1 11 a 1 10 11 1a 01 1110 01 1011 a 101 1 1 10 1 2. 6. 10. 14. 18. 1 a 0 a 11 01 11 10 1 01 10 1 1 1 1 0 1 1 1 a 01 11 0 0 a 1 10 11 11 a 1 11 10 0 1 1 10 1 a 1 1 01 1 a 1 0 3. 7. 11. 15. 19. 1 1 1 1 011 a 10 a 1 10 a 1 1 0 1 1 0 111 011 a 1 0 1 011 10 a 1 0 1 a 1 011 10 a 0 1 0 111 a 011 1 101 1 1 a 0, 4. 8. 12. 16. 20. matrix is not 011 1 1011 110 1 a 11 a 0111 1 a 1 1 1 10 1 1 11 a 011 a 1011 1 101 a 110 011 a 101 1 a101 1110 0 a 11 101 1 1 10 a 1 1 1 0
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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Question
Parts 2-5 please
Transcribed Image Text:Problem I Determine for which values of the real parameter a the following matrix is not
invertible.
1.
5.
9.
13.
17.
a 1 1
a
1 01 1
1
101
1
a
1
1
1
0
1
11
101
a
1
a
1
011
101
10
a
1 11
1 011
1 a 0 1
1
1 10
0
1
1 01 1
1 01
2.
6.
10.
14.
18.
01 1
a 0 1
a
0
1
10
1
1
1
1
1
1
a 1
10
01 1 1
10 a 1
1a 01
1110
a
a
11
101 1
11 a 1
1
10
1 1
10 1 a
11 0 1
1
10
3.
7.
11.
15.
19.
0
1 0 1
a 1 0 a
1
10
1
1
a
1
1
1
1 1
1
1
a
1
10
11
10 1 1
11 0 a
1 1 a 0
01 a 1
10 1 1
11 0 a
1 1 10
01 1 1
a 0
11
11
01
1
a 0
4.
8.
12.
16.
20.
011
1 01 1
1
10 1
a
11 a
0 11 1
1 a 1 1
1101
11 a
1
011 a
1 0 1 1
110 1
a 110
0 1 1 a
10 1 1
a 101
1 10
1
0 a 1
1
1
01
1
⠀⠀⠀⠀
10 a
110
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