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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
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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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
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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