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Common Core Standard HSN-VM.C.8 Questions

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

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Evaluate. $[[5,4],[-3,8],[-2,1]] + [[1,0],[-5,5],[9,-2]]$
1. $[[6,4],[2,3],[7,-1]]$
2. $[[5,5],[ 2,3],[-4,10]]$
3. $[[6,4],[-8,13],[7,-1]]$
4. Not possible to add (they are not square matrices).
If Matrix A = $[(-3,1),(-2,4),(5,-1)]$ and Matrix B = $[(4,-3),(0,-2),(-2,4)]$, then what is 3A - 2B?
1. $[(-1,-3),(-6,8),(11,5)]$
2. $[(-1,9),(-6,8),(11,5)]$
3. $[(-1,9),(-6,8),(11,-11)]$
4. $[(-17,9),(-6,16),(19,-11)]$
Evaluate. $[[1,0,0],[0,1,0],[0,0,1]] + [[1,0,-9],[-5,2,5],[7,-2,3]]$
1. $[[2,1,-8],[-4,3,6],[8,-1,4]]$
2. $[[2,0,9],[5,3,5],[7,2,3]]$
3. $[[2,0,-9],[-5,3,5],[7,-2,4]]$
4. $[[1,0,-9],[-5,2,5],[7,-2,3]]$
Multiply, if possible. $[[3,2,-1],[0,9,1],[3,2,-5]] * [[1,0,1],[-2,-3,2],[5,6,-1]]$
1. $[[3,0,-1],[0,-27,2],[15,12,5]]$
2. $[[2,-14,28],[1,-25,53],[-2,-22,32]]$
3. $[[-5,-12,9],[-23,-22,18],[-25,-37,16]]$
4. $[[-6,-12,8],[-13,-21,17],[-26,-36,12]]$
Multiply the following.

$[(0,2),(-2,-5)] * [(6,-6),(3,0)]$
1. Undefined
2. $[(0,6),(-27,12)]$
3. $[(6,0),(-27,12)]$
4. None of the above
Evaluate. $[[5,0,-3,-2,1]] + [[-2,0,-5,7,1]]$
1. $[[5,-2,-5,7,1]]$
2. $[[7,0,8,9,2]]$
3. $[[6,7,-8,-2,1]]$
4. $[[3,0,-8,5,2]]$
Multiply, if possible. $[[4,0],[-3,6]] * [[3,-4],[5,1]]$
1. $[[12,0],[-15,6]]$
2. $[[12,20],[-33,-9]]$
3. $[[12,-16],[21,18]]$
4. Not possible.
Multiply the following.

$[(6),(-3)] * [( -5, 4)]$
1. Undefined
2. $[(-30,24),(15,-12)]$
3. $[(-30, -12)]$
4. None of the above
Add. $[[4,9,-6],[-3,0,8],[2,2,5]] + [[-10, 2,6],[5,-7,-8],[2,12,-5]]$
1. $[[-6,11,0],[2,-7,0],[4,14,0]]$
2. $[[14,11,12],[8,-7,16],[4,14,10]]$
3. $[[-14, 7,-12],[-8,7,16],[0,-10,10]]$
4. $[[-6,11],[2,-7],[4,14]]$
Perform the indicated operations. If the matrix does not exist, choose impossible.

$[[8,3],[-1,-1]]-[[0,-7],[6,2]]$
1. $[[-8,-10],[-7,-3]]$
2. $[[-3,10],[-7,8]]$
3. $"Impossible"$
4. $[[8,10],[-7,-3]]$
Subtract. $[[4,8],[7,2]] - [[3,9],[3,6]]$
1. $[[1,-1],[4,-4]]$
2. $[[-5,5],[1,-1]]$
3. $[[7,17],[10,8]]$
4. $[[1,8],[4,3]]$
Find the product, if possible. $[[2,0],[-3,5],[1,4]]*[[3],[-2]]$
1. $[[6,-19,-5]]$
2. $[[6],[-19],[-5]]$
3. $[[5,-5],[0,3]]$
4. Impossible
Evaluate. $[[3,-9,5],[0,-1,4]] - [[4,-3,-11],[-3,0,7]]$
1. $[[-1,-12,-6],[-4,-1,-3]]$
2. $[[-1,6,-16],[3,1,-3]]$
3. $[[-1,-6,16],[3,-1,-3]]$
4. Cannot subtract because they are not square matrices.
Evaluate, if possible. $[[-5,7],[6,8]] - [[4,0,-2],[9,0,1]]$
1. $[[-9,7],[-3,8]]$
2. $[[13,-7],[3,-8]]$
3. $[[-9,7,4],[-3,8,-13]]$
4. Impossible
Subtract the matrices. $[[3,-9,2]] - [[5],[8],[-3]]$
1. $[[-2,-17,5]]$
2. $[[-2],[-17],[5]]$
3. $[[0,-5,0],[3,-17,2],[0,3,0]]$
4. Cannot subtract matrices of different dimensions.
Evaluate: $3[[8],[0],[-3]]-4[[2],[2],[10]]$
1. $"Impossible"$
2. $[[16],[-8],[-49]]$
3. $[[-49],[-8],[16]]$
4. $[[16,-8,-49]]$
Find the difference. $[[2,0],[-4,1],[8,12],[0,-3],[1,1]] - [[-3,5],[6,10],[3,12],[-4,4],[8,7]]$
1. $[[5,5],[-2,-9],[-5,-24],[-4,1],[-7,-6]]$
2. $[[5,-5],[-10,-9],[5,0],[4,-7],[-7,-6]]$
3. $[[-1,5],[2,11],[11,24],[-4,1],[9,8]]$
4. $[[-5,-5],[-2,9],[5,24],[-4,-7],[7,6]]$
Evaluate: $([(-13,-20),(18,-4)]-[(0,9),(-19,-20)]) + [(-16,5),(7,-6)]$
1. $[(29,-24),(44,-10)]$
2. $[(-13,24),(-10,44)]$
3. $[(-29,-24),(44,10)]$
If $A = [[4,0,2],[-1,-5,7],[9,10,-2]]$ and $B = [[0,-3,8],[3,1,9],[-2,-2,11]]$, find $B-A$.
1. $[[4,3,-6],[-4,-6,-2],[11,12,-13]]$
2. $[[4,-3,10],[2,-4,2],[7,8,9]]$
3. $[[-4,-3,6],[4,6,2],[-11,-12,13]]$
4. $[[-4,-3,-6],[4,6,16],[7,8,13]]$