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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 $[[4,-2],[8,6]]$ is multiplied by $3/2$.
1. $[[6,-3],[12,9]]$
2. $[[12,-6],[24,18]]$
3. $[[6,-2],[12,6]]$
4. $[[6,-3],[8,6]]$
Grade 12 Matrices CCSS: HSN-VM.C.7
For $D = [[3, -4, 0],[2,1/2,-5]]$, find $-6D$.
1. $[[18,-4,0],[-12,1/2,-5]]$
2. $[[18,-24,-6],[2,1/2,-5]]$
3. $[[-18,24,0],[-12,-3,30]]$
4. $[[18,-24,-6],[12,3,-30]]$
Grade 12 Matrices CCSS: HSN-VM.C.7
For $V = [[4],[-2],[8],[1/3]]$, find $1/2 V$.
1. $[[2],[-2],[8],[1/3]]$
2. $[[2],[-1],[4],[1/6]]$
3. $[[2],[-1],[4],[1/3]]$
4. $[[4],[-2],[8],[1/6]]$
Grade 12 Matrices CCSS: HSN-VM.C.7
For $M = [[3,0,-9],[6,-6,12],[1,15,-3]]$ find $4/3 M$.
1. $[[4,0,-12],[6,-6,12],[1,15,-3]]$
2. $[[4,0,-9],[8,-6,12],[4/3,15,-3]]$
3. $[[4,4/3,-12],[8,-8,16],[4/3,20,-4]]$
4. $[[4,0,-12],[8,-8,16],[4/3,20,-4]]$
Grade 11 Matrices CCSS: HSN-VM.C.7
For $A = [[16, 8, 32], [4, 0, 12], [8, 24, 20]]$, find $1/4 A$.
1. $[[4, 2, 8],[4, 0, 12], [8, 24, 20]]$
2. $[[ 4, 8, 32],[1, 0, 12],[2,24,20]]$
3. $[[4,2,8],[1,0,3],[2,6,5]]$
4. $"Does not exist (because of 0 in matrix)"$
Grade 12 Matrices CCSS: HSN-VM.C.7
For $M = [[3,9],[5,1]]$, what is the result of multiplying $M$ by 3?
1. $[[9,9],[5,1]]$
2. $[[9,27],[15,3]]$
3. $[[9,27],[5,1]]$
4. $[[9,9],[15,1]]$
Grade 12 Matrices CCSS: HSN-VM.C.7
For $A = [[1,7],[0,3]]$, which of the following is equal to $4A ?$
1. $[[4,28],[4,12]]$
2. $[[4,7],[0,3]]$
3. $[[4,28],[0,12]]$
4. $[[4,7],[4,3]]$
Grade 12 Matrices CCSS: HSN-VM.C.7
If the matrix $[[2,9,8],[0,3,4],[1,11,3]]$ is multiplied by the scalar 5, what is the result?
1. $[[7,14,13],[5,8,9],[6,16,8]]$
2. $[[10,45,40],[0,15,20],[5,55,15]]$
3. $[[3,4,1],[11,3,2],[9,8,0]]$
4. $[[10,0,5],[45,15,55],[40,20,15]]$
Grade 12 Matrices CCSS: HSN-VM.C.7
If the matrix $[[27,9,12],[3,0,6],[18,21,3]]$ is multiplied by the scalar $1/3$, what is the result?
1. $[[9,3,4],[1,0,2],[6,7,1]]$
2. $[[30,12,14],[6,3,9],[21,24,6]]$
3. $[[27,9,12],[3,0,6],[18,21,3]]$
4. $[[9,1,6],[3,0,7],[4,2,1]]$
Grade 12 Matrices CCSS: HSN-VM.C.7
If the matrix $[[6,8,9],[1,0,2],[3,6,2]]$ is multiplied by the scalar 3, what is the result?
1. $[[9,11,12],[4,3,5],[8,9,5]]$
2. $[[18,24,27],[3,0,6],[9,18,6]]$
3. $[[3,5,6],[-2,-3,-1],[0,3,-1]]$
4. $[[9,8,6],[2,0,1],[2,6,3]]$
Grade 12 Matrices CCSS: HSN-VM.C.7
If the matrix $[[2,9,8],[0,3,4],[1,11,3]]$ is multiplied by the scalar 3, what is the result?
1. $[[2/3,3,8/3],[0,1,4/3],[1/3,11/3,1]]$
2. $[[6,0,3],[27,9,33],[24,16,12]]$
3. $[[5,12,11],[3,6,7],[4,14,7]]$
4. $[[6,27,24],[0,9,12],[3,33,9]]$
Grade 12 Matrices CCSS: HSN-VM.C.7
If the matrix $[[2,8,12],[3,4,0],[8,10,4]]$ is multiplied by the scalar 1/2, what is the result?
1. $[[4,16,24],[6,8,0],[16,20,8]]$
2. $[[12,8,2],[0,4,3],[4,10,8]]$
3. $[[4,6,16],[16,8,20],[24,0,8]]$
4. $[[1,4,6],[1.5,2,0],[4,5,2]]$
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