Instructor’s Solutions Manual — Elementary Linear Algebra: A Matrix Approach (Classic Version), 2nd Edition — Lawrence E. Spence, Arnold J. Insel, Stephen H. Friedberg — ISBN 9780131871410

Elementary Linear Algebra: A Matrix
Approach (Classic Version) – 2nd Edition
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INSTRUCTOR’S
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SOLUTIONS
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MANUAL
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Lawrence E. Spence
Arnold J. Insel
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Stephen H. Friedberg
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Comprehensive Solutions Manual for Instructors and
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Students
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© Lawrence E. Spence, Arnold J. Insel & Stephen H. Friedberg

All rights reserved. Reproduction or distribution without permission is prohibited.
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Chapter 1

Matrices, Vectors, and
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Systems of Linear
Equations
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2 3 2 3
1.1 MATRICES AND VECTORS 12 4 −7 −1
6−4 207 6 3 07
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22. 6
4 8 −245
7 23. 6
4−3
7
»
8 −4 20
–
−2
»
1 −5
– 35
1. 2. 16 −8 −4 4
12 16 4 −3 −4 −1
2 3
»
6 −4 24
– »
8 −3 11
– −7 −1
3. 4. 6 3 07
8 10 −4 13 18 11 24. 6 7 25. −2 26. 0
2 3 2 3 4−3 35
2 4 4 7 −4 4
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5. 4 0 65 6. 4−1 105 2 3 2 3
−4 8 1 9 3 −2 » –
405 2
27. 28. 41.65 29.
2
4 7
3 2e
»
3 −1 3
– 2π 5
7. 8. 4−1 105 » –
5 7 5 0.4
1 9 30. 31. [2 − 3 0.4] 32. [2e 12 0]
0
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2 3
2 3 » –
−1
2 3
1 7 150
9. 4−1 45 10. √
1 1 −3 33. 4150 35 mph
5 1
2 3 2 3 10
−1 −2 −1 −2 »√ –
−35 −35 2
11. 4 0 12. 4 0 34. (a) The swimmer’s velocity is u = √ mph.
2 −4 2 −4 2
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2 3
» – −12 0
−3 1 −2 −4 6 6 157
13. 14. 6 7
−1 −5 6 2 4 −3 −95 North
0 6 y
» –
−6 2 −4 −8
15. 
−2 −10 12 4 swimmer in
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» – still water
−8 4 −2 −0
16. 17. not possible
0 10 −6 4 .... ◦
...45
2
7 1
3 ...
.
x
» – East
7 −3 3 4 6−3 07
18. 19. 4
6 7
1 0 −3 −4 3 −35 Figure for Exercise 34(a)
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4 −4
» –
1 1 4 12
20. 21. not possible
3 25 −24 −2


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