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17. Find scalars a and b such that a(A + B) + b(C + D) = 0. %3D 18. Find scalars a, b, and e such that aA + bB + cC = D.

17. Find scalars a and b such that a(A + B) + b(C + D) = 0. %3D 18. Find scalars a, b, and e such that aA + bB + cC = D.

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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In Exercises 7 through 18, let A = (1, 2, 3), B = (4, –3, –1), C= (-5,–3, 5), D=(-2, 1, 6). 7. Find A + 5B 8. Find 2A - C 9. Find 7C – 5D 11. Find |7C| – |5D| 12. Find (4B| + |6C – |2D| 10. Find 4B + 6C – 2D 13. Find C+ 3D –- 8A 14. Find 3A - 2B + C- 12D 15. Find |A||B|(C- D) 16. Find |A|C- |B|D 17. Find scalars a and b such that a(A + B) + b(C + D) = 0. 18. Find scalars a, b, and c such that aA + bB + cC = D.
Transcribed Image Text:In Exercises 7 through 18, let A = (1, 2, 3), B = (4, –3, –1), C= (-5,–3, 5), D=(-2, 1, 6). 7. Find A + 5B 8. Find 2A - C 9. Find 7C – 5D 11. Find |7C| – |5D| 12. Find (4B| + |6C – |2D| 10. Find 4B + 6C – 2D 13. Find C+ 3D –- 8A 14. Find 3A - 2B + C- 12D 15. Find |A||B|(C- D) 16. Find |A|C- |B|D 17. Find scalars a and b such that a(A + B) + b(C + D) = 0. 18. Find scalars a, b, and c such that aA + bB + cC = D.
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