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Matrix Operations - Practice #2 (Grades 11-12)

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Matrix Operations - Practice #2

1. 
If the matrix [math][[2,9,8],[0,3,4],[1,11,3]][/math] is multiplied by the scalar 5, what is the result?
  1. [math][[7,14,13],[5,8,9],[6,16,8]][/math]
  2. [math][[10,45,40],[0,15,20],[5,55,15]][/math]
  3. [math][[3,4,1],[11,3,2],[9,8,0]][/math]
  4. [math][[10,0,5],[45,15,55],[40,20,15]][/math]
2. 
Evaluate. [math][(2,-3), (-4,2)] - [(-1,-5), (-3,2)][/math]
  1. [math][(3,2),(-7,4)][/math]
  2. [math][(-3,2),(-7,4)][/math]
  3. [math][(3,2),(-1,0)][/math]
  4. None of the above
3. 
Evaluate. [math][[1,2],[3,4]]+[[1,2],[3,4]][/math]
  1. [math][[2,4],[6,8]][/math]
  2. [math][[2,8],[6,4]][/math]
  3. [math][[8,2],[6,4]][/math]
4. 
Evaluate, if possible. [math][[-5,7],[6,8]] - [[4,0,-2],[9,0,1]][/math]
  1. [math][[-9,7],[-3,8]][/math]
  2. [math][[13,-7],[3,-8]][/math]
  3. [math][[-9,7,4],[-3,8,-13]][/math]
  4. Impossible
5. 
Evaluate: [math]([(-13,-20),(18,-4)]-[(0,9),(-19,-20)]) + [(-16,5),(7,-6)][/math]
  1. [math][(29,-24),(44,-10)][/math]
  2. [math][(-13,24),(-10,44)][/math]
  3. [math][(-29,-24),(44,10)][/math]
  4. None of the above
6. 
Evaluate: [math]3[[8],[0],[-3]]-4[[2],[2],[10]][/math]
  1. [math]"Impossible"[/math]
  2. [math][[16],[-8],[-49]][/math]
  3. [math][[-49],[-8],[16]][/math]
  4. [math][[16,-8,-49]][/math]
7. 
Multiply the following.

[math][(0,2),(-2,-5)] * [(6,-6),(3,0)][/math]
  1. Undefined
  2. [math][(0,6),(-27,12)][/math]
  3. [math][(6,0),(-27,12)][/math]
  4. None of the above
8. 
Multiply the following.

[math] [(6),(-3)] * [( -5, 4)] [/math]
  1. Undefined
  2. [math][(-30,24),(15,-12)][/math]
  3. [math] [(-30, -12)] [/math]
  4. None of the above
9. 
Find the inverse of the matrix [math][[2,5],[1,6]][/math].
  1. [math][[42,-35],[-7,14]][/math]
  2. [math][[6/17,-5/17],[-1/17,2/17]][/math]
  3. [math][[2/7,5/7],[1/7,6/7]][/math]
  4. [math][[6/7,-5/7],[-1/7,2/7]][/math]
10. 
Find the inverse of the matrix [math][[0,6],[2,8]][/math].
  1. [math][[4/6,2/4],[2/12,6/0]][/math]
  2. [math][[-2/3,1/2],[1/6,0]][/math]
  3. [math][[0,1/2],[1/6,2/3]][/math]
  4. [math][[96,-72],[-24,0]][/math]
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