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Common Core Standard HSN-VM.C.8 Questions

(+) Add, subtract, and multiply matrices of appropriate dimensions.

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Grade 12 Matrices CCSS: HSN-VM.C.8
Evaluate. [math] [[5,4],[-3,8],[-2,1]] + [[1,0],[-5,5],[9,-2]] [/math]
  1. [math] [[6,4],[2,3],[7,-1]][/math]
  2. [math] [[5,5],[ 2,3],[-4,10]][/math]
  3. [math] [[6,4],[-8,13],[7,-1]][/math]
  4. Not possible to add (they are not square matrices).
Grade 12 Matrices CCSS: HSN-VM.C.8
If Matrix A = [math][(-3,1),(-2,4),(5,-1)][/math] and Matrix B = [math][(4,-3),(0,-2),(-2,4)][/math], then what is 3A - 2B?
  1. [math][(-1,-3),(-6,8),(11,5)][/math]
  2. [math][(-1,9),(-6,8),(11,5)][/math]
  3. [math][(-1,9),(-6,8),(11,-11)][/math]
  4. [math][(-17,9),(-6,16),(19,-11)][/math]
Grade 12 Matrices CCSS: HSN-VM.C.8
Evaluate. [math] [[1,0,0],[0,1,0],[0,0,1]] + [[1,0,-9],[-5,2,5],[7,-2,3]] [/math]
  1. [math] [[2,1,-8],[-4,3,6],[8,-1,4]][/math]
  2. [math] [[2,0,9],[5,3,5],[7,2,3]][/math]
  3. [math] [[2,0,-9],[-5,3,5],[7,-2,4]][/math]
  4. [math] [[1,0,-9],[-5,2,5],[7,-2,3]] [/math]
Grade 12 Matrices CCSS: HSN-VM.C.8
Multiply, if possible. [math] [[3,2,-1],[0,9,1],[3,2,-5]] * [[1,0,1],[-2,-3,2],[5,6,-1]] [/math]
  1. [math] [[3,0,-1],[0,-27,2],[15,12,5]] [/math]
  2. [math][[2,-14,28],[1,-25,53],[-2,-22,32]] [/math]
  3. [math][[-5,-12,9],[-23,-22,18],[-25,-37,16]][/math]
  4. [math] [[-6,-12,8],[-13,-21,17],[-26,-36,12]][/math]
Grade 12 Matrices CCSS: HSN-VM.C.8
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
Grade 12 Matrices CCSS: HSN-VM.C.8
Evaluate. [math] [[5,0,-3,-2,1]] + [[-2,0,-5,7,1]][/math]
  1. [math] [[5,-2,-5,7,1]][/math]
  2. [math] [[7,0,8,9,2]][/math]
  3. [math] [[6,7,-8,-2,1]][/math]
  4. [math] [[3,0,-8,5,2]][/math]
Grade 12 Matrices CCSS: HSN-VM.C.8
Multiply, if possible. [math] [[4,0],[-3,6]] * [[3,-4],[5,1]] [/math]
  1. [math] [[12,0],[-15,6]][/math]
  2. [math] [[12,20],[-33,-9]] [/math]
  3. [math] [[12,-16],[21,18]] [/math]
  4. Not possible.
Grade 12 Matrices CCSS: HSN-VM.C.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
Grade 12 Matrices CCSS: HSN-VM.C.8
Add. [math] [[4,9,-6],[-3,0,8],[2,2,5]] + [[-10, 2,6],[5,-7,-8],[2,12,-5]] [/math]
  1. [math] [[-6,11,0],[2,-7,0],[4,14,0]] [/math]
  2. [math] [[14,11,12],[8,-7,16],[4,14,10]] [/math]
  3. [math] [[-14, 7,-12],[-8,7,16],[0,-10,10]][/math]
  4. [math] [[-6,11],[2,-7],[4,14]] [/math]
Grade 12 Matrices CCSS: HSN-VM.C.8
Perform the indicated operations. If the matrix does not exist, choose impossible.

[math][[8,3],[-1,-1]]-[[0,-7],[6,2]][/math]
  1. [math][[-8,-10],[-7,-3]][/math]
  2. [math][[-3,10],[-7,8]][/math]
  3. [math]"Impossible"[/math]
  4. [math][[8,10],[-7,-3]][/math]
Grade 12 Matrices CCSS: HSN-VM.C.8
Subtract. [math] [[4,8],[7,2]] - [[3,9],[3,6]][/math]
  1. [math] [[1,-1],[4,-4]][/math]
  2. [math] [[-5,5],[1,-1]] [/math]
  3. [math] [[7,17],[10,8]][/math]
  4. [math][[1,8],[4,3]][/math]
Grade 11 Matrices CCSS: HSN-VM.C.8
Find the product, if possible. [math][[2,0],[-3,5],[1,4]]*[[3],[-2]][/math]
  1. [math][[6,-19,-5]][/math]
  2. [math][[6],[-19],[-5]][/math]
  3. [math][[5,-5],[0,3]][/math]
  4. Impossible
Grade 12 Matrices CCSS: HSN-VM.C.8
Evaluate. [math][[3,-9,5],[0,-1,4]] - [[4,-3,-11],[-3,0,7]] [/math]
  1. [math] [[-1,-12,-6],[-4,-1,-3]] [/math]
  2. [math] [[-1,6,-16],[3,1,-3]] [/math]
  3. [math] [[-1,-6,16],[3,-1,-3]][/math]
  4. Cannot subtract because they are not square matrices.
Grade 11 Matrices CCSS: HSN-VM.C.8
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
Grade 12 Matrices CCSS: HSN-VM.C.8
Subtract the matrices. [math][[3,-9,2]] - [[5],[8],[-3]][/math]
  1. [math] [[-2,-17,5]][/math]
  2. [math][[-2],[-17],[5]][/math]
  3. [math][[0,-5,0],[3,-17,2],[0,3,0]][/math]
  4. Cannot subtract matrices of different dimensions.
Grade 12 Matrices CCSS: HSN-VM.C.8
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]
Grade 12 Matrices CCSS: HSN-VM.C.8
Find the difference. [math] [[2,0],[-4,1],[8,12],[0,-3],[1,1]] - [[-3,5],[6,10],[3,12],[-4,4],[8,7]] [/math]
  1. [math] [[5,5],[-2,-9],[-5,-24],[-4,1],[-7,-6]] [/math]
  2. [math] [[5,-5],[-10,-9],[5,0],[4,-7],[-7,-6]][/math]
  3. [math] [[-1,5],[2,11],[11,24],[-4,1],[9,8]] [/math]
  4. [math] [[-5,-5],[-2,9],[5,24],[-4,-7],[7,6]][/math]
Grade 12 Matrices CCSS: HSN-VM.C.8
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
Grade 12 Matrices CCSS: HSN-VM.C.8
If [math]A = [[4,0,2],[-1,-5,7],[9,10,-2]][/math] and [math]B = [[0,-3,8],[3,1,9],[-2,-2,11]][/math], find [math]B-A[/math].
  1. [math] [[4,3,-6],[-4,-6,-2],[11,12,-13]][/math]
  2. [math] [[4,-3,10],[2,-4,2],[7,8,9]] [/math]
  3. [math] [[-4,-3,6],[4,6,2],[-11,-12,13]][/math]
  4. [math] [[-4,-3,-6],[4,6,16],[7,8,13]][/math]
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