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# Common Core Standard HSN-VM.C.11 Questions

(+) Multiply a vector (regarded as a matrix with one column) by a matrix of suitable dimensions to produce another vector. Work with matrices as transformations of vectors.

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Which matrix would transform the vector $< 4,2,7 >$ to the vector $<20,23,51 >$?
1. $[[0,3,2],[4,0,1],[3,2,5]]$
2. $[[3,2,5],[4,0,1],[0,3,2]]$
3. $[[0,4,3],[3,0,2],[2,1,5]]$
4. $[[5,1,2],[2,0,3],[3,4,0]]$
The matrix $[[1,2,3],[4,5,6],[7,8,9]]$ multiplied by the vector $< 1,2,3 >$ equals which of the following?
1. $[[1,4,9],[4,10,18],[7,16,27]]$
2. $[ [14],[32],[50]]$
3. $[[12],[30],[54]]$
4. $[[1,2,3],[8,10,12],[21,24,27]]$
What does the matrix $[[2,6,1],[4,1,8]]$ multiplied by the vector $< 4,10,-5 >$ equal?
1. $[[8,60,-5],[16,10,-40],[0,0,0]]$
2. $[ [16,10,-40],[8,60,-5]]$
3. $[[24],[70],[-45]]$
4. $[[63],[-14]]$
How would the vector $< 4,10,-5 >$ would be represented as a matrix?
1. $[[4,10,-5],[0,0,0],[0,0,0]]$
2. $[ [4,0,0],[0,10,0],[0,0,-5]]$
3. $[[-5],[10],[4]]$
4. $[[4],[10],[-5]]$
How would the vector $< 1,4,7 >$ be represented as a matrix?
1. $[[1,4,7],[0,0,0],[0,0,0]]$
2. $[[1],[4],[7]]$
3. $[[7],[4],[1]]$
4. $[ [1,0,0],[0,4,0],[0,0,7]]$