1. [1001]
2. [1001]
3. [1001−23]
4. [10012−1]
5. [1001−5−3]
6. [10017−6]
7. ⎡⎣⎢1000105−10⎤⎦⎥
8. ⎡⎣⎢100010001⎤⎦⎥
9. ⎡⎣⎢100010240⎤⎦⎥
10. ⎡⎣⎢100010−350⎤⎦⎥
11. ⎡⎣⎢100300010⎤⎦⎥
12. ⎡⎣⎢100−400010⎤⎦⎥
13. ⎡⎣⎢1000100013−22⎤⎦⎥
14. ⎡⎣⎢1000100014−35⎤⎦⎥
15. ⎡⎣⎢100010−1302−10⎤⎦⎥
16. ⎡⎣⎢100010340−230⎤⎦⎥
17. ⎡⎣⎢1000100012−1−2−34−5⎤⎦⎥
18. ⎡⎣⎢100010340−250310⎤⎦⎥
19. ⎡⎣⎢1000102−201−30310⎤⎦⎥
20. ⎡⎣⎢100200010210340⎤⎦⎥
21. x1=3, x2=−2, x3=4
22. x1=5, x2=−3, x3=2
23. x1=4+3t, x2=3−2t, x3=t
24. x1=5+2t, x2=t, x3=7
25. Inconsistent—no solution
26. Inconsistent—no solution
27. x1=3−2t, x2=−4+t, x3=5−3t, x4=t
28. x1=4+2s−3t, x2=s, x3=3−4t, x4=t
29. x1=3−s−t, x2=5+2s−3t, x3=s, x4=t
30. x1=2+3t, x2=1+s−2t, x3=2+2s, x4=s, x5=t
31. The sequence 16R3, R2−5R3, 14R2, R1−2R2, R1−3R3 of row operations transforms the first matrix to the identity matrix.
33. [1001], [10*0], [0010], [0000]