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Common Core Standard HSN-VM.C.7 Questions

(+) Multiply matrices by scalars to produce new matrices, e.g., as when all of the payoffs in a game are doubled.

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Grade 12 Matrices CCSS: HSN-VM.C.7
Find the resulting matrix if the matrix [math][[4,-2],[8,6]][/math] is multiplied by [math]3/2[/math].
  1. [math] [[6,-3],[12,9]] [/math]
  2. [math] [[12,-6],[24,18]][/math]
  3. [math] [[6,-2],[12,6]] [/math]
  4. [math] [[6,-3],[8,6]] [/math]
Grade 12 Matrices CCSS: HSN-VM.C.7
For [math]D = [[3, -4, 0],[2,1/2,-5]][/math], find [math]-6D[/math].
  1. [math] [[18,-4,0],[-12,1/2,-5]][/math]
  2. [math] [[18,-24,-6],[2,1/2,-5]][/math]
  3. [math] [[-18,24,0],[-12,-3,30]][/math]
  4. [math] [[18,-24,-6],[12,3,-30]][/math]
Grade 12 Matrices CCSS: HSN-VM.C.7
For [math]V = [[4],[-2],[8],[1/3]][/math], find [math]1/2 V[/math].
  1. [math] [[2],[-2],[8],[1/3]] [/math]
  2. [math][[2],[-1],[4],[1/6]][/math]
  3. [math] [[2],[-1],[4],[1/3]] [/math]
  4. [math] [[4],[-2],[8],[1/6]] [/math]
Grade 12 Matrices CCSS: HSN-VM.C.7
For [math]M = [[3,0,-9],[6,-6,12],[1,15,-3]][/math] find [math]4/3 M[/math].
  1. [math] [[4,0,-12],[6,-6,12],[1,15,-3]][/math]
  2. [math] [[4,0,-9],[8,-6,12],[4/3,15,-3]][/math]
  3. [math] [[4,4/3,-12],[8,-8,16],[4/3,20,-4]] [/math]
  4. [math] [[4,0,-12],[8,-8,16],[4/3,20,-4]] [/math]
Grade 11 Matrices CCSS: HSN-VM.C.7
For [math]A = [[16, 8, 32], [4, 0, 12], [8, 24, 20]] [/math], find [math]1/4 A[/math].
  1. [math] [[4, 2, 8],[4, 0, 12], [8, 24, 20]] [/math]
  2. [math] [[ 4, 8, 32],[1, 0, 12],[2,24,20]] [/math]
  3. [math] [[4,2,8],[1,0,3],[2,6,5]] [/math]
  4. [math]"Does not exist (because of 0 in matrix)"[/math]
Grade 12 Matrices CCSS: HSN-VM.C.7
For [math]M = [[3,9],[5,1]][/math], what is the result of multiplying [math]M[/math] by 3?
  1. [math][[9,9],[5,1]][/math]
  2. [math][[9,27],[15,3]][/math]
  3. [math][[9,27],[5,1]][/math]
  4. [math][[9,9],[15,1]][/math]
Grade 12 Matrices CCSS: HSN-VM.C.7
For [math]A = [[1,7],[0,3]][/math], which of the following is equal to [math]4A ?[/math]
  1. [math][[4,28],[4,12]][/math]
  2. [math][[4,7],[0,3]][/math]
  3. [math][[4,28],[0,12]][/math]
  4. [math][[4,7],[4,3]][/math]
Grade 12 Matrices CCSS: HSN-VM.C.7
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]
Grade 12 Matrices CCSS: HSN-VM.C.7
If the matrix [math][[27,9,12],[3,0,6],[18,21,3]][/math] is multiplied by the scalar [math]1/3[/math], what is the result?
  1. [math][[9,3,4],[1,0,2],[6,7,1]][/math]
  2. [math][[30,12,14],[6,3,9],[21,24,6]][/math]
  3. [math][[27,9,12],[3,0,6],[18,21,3]][/math]
  4. [math][[9,1,6],[3,0,7],[4,2,1]][/math]
Grade 12 Matrices CCSS: HSN-VM.C.7
If the matrix [math][[6,8,9],[1,0,2],[3,6,2]][/math] is multiplied by the scalar 3, what is the result?
  1. [math][[9,11,12],[4,3,5],[8,9,5]][/math]
  2. [math][[18,24,27],[3,0,6],[9,18,6]][/math]
  3. [math][[3,5,6],[-2,-3,-1],[0,3,-1]][/math]
  4. [math][[9,8,6],[2,0,1],[2,6,3]][/math]
Grade 12 Matrices CCSS: HSN-VM.C.7
If the matrix [math][[2,9,8],[0,3,4],[1,11,3]][/math] is multiplied by the scalar 3, what is the result?
  1. [math][[2/3,3,8/3],[0,1,4/3],[1/3,11/3,1]][/math]
  2. [math][[6,0,3],[27,9,33],[24,16,12]][/math]
  3. [math][[5,12,11],[3,6,7],[4,14,7]][/math]
  4. [math][[6,27,24],[0,9,12],[3,33,9]][/math]
Grade 12 Matrices CCSS: HSN-VM.C.7
If the matrix [math][[2,8,12],[3,4,0],[8,10,4]][/math] is multiplied by the scalar 1/2, what is the result?
  1. [math][[4,16,24],[6,8,0],[16,20,8]][/math]
  2. [math][[12,8,2],[0,4,3],[4,10,8]][/math]
  3. [math][[4,6,16],[16,8,20],[24,0,8]][/math]
  4. [math][[1,4,6],[1.5,2,0],[4,5,2]][/math]

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