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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
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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