Building Skills

  1. 9. 1×1

  2. 11. 2×4

  3. 13. 2×3

  4. 15. a13=3, a31=9, a33=11, a34=12

  5. 17. No, it is not a ­rectangular array of numbers.

  6. 19. [ 242131 ]

  7. 21. [ 5711131719 ]

  8. 23. [ 12382391645632 ]

  9. 25. { x+2y3z=42x3y+z=53x3y+2z=7

  10. 27. { xy+z=22x+y3z=6

  11. 29. [ 123011 ]

  12. 31. [ 123401530011 ]

  13. 33. [ 457542 ]14R1[ 15474542 ]5R1+R2R2[ 15474094274 ]49R2[ 15474013 ]

  14. 35. [ 143103200753 ]13R2[ 1431012300753 ]7R2+R3R3[ 14310123007133 ]3R3[ 1431012300019 ]

  15. 37. No, because Property 2 is not satisfied

  16. 39. The matrix is in reduced row-echelon form because Properties 1–4 are satisfied.

  17. 41. The matrix is in reduced row-echelon form because Properties 1–4 are satisfied.

  18. 43. The matrix is in reduced row-echelon form because Properties 1–4 are ...

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