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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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Grade 12 Matrices CCSS: HSN-VM.C.11
Which matrix would transform the vector [math]< 4,2,7 >[/math] to the vector [math]<20,23,51 >[/math]
  1. [math][[0,3,2],[4,0,1],[3,2,5]][/math]
  2. [math][[3,2,5],[4,0,1],[0,3,2]][/math]
  3. [math][[0,4,3],[3,0,2],[2,1,5]][/math]
  4. [math][[5,1,2],[2,0,3],[3,4,0]][/math]
Grade 12 Matrices CCSS: HSN-VM.C.11
The vector [math]< 1,2,3 >[/math] multiplied by the matrix [math][[1,2,3],[4,5,6],[7,8,9]][/math]
  1. [math][[1,4,9],[4,10,18],[7,16,27]][/math]
  2. [math][ [14],[32],[50]][/math]
  3. [math][[12],[30],[54]][/math]
  4. [math][[1,2,3],[8,10,12],[21,24,27]][/math]
Grade 12 Matrices CCSS: HSN-VM.C.11
The vector [math]< 4,10,-5 >[/math] multiplied by the matrix [math][[2,6,1],[4,1,8]][/math]
  1. [math][[8,60,-5],[16,10,-40],[0,0,0]][/math]
  2. [math][ [16,10,-40],[8,60,-5]][/math]
  3. [math][[24],[70],[-45]][/math]
  4. [math][[63],[-14]][/math]
Grade 12 Matrices CCSS: HSN-VM.C.11
The vector [math]< 4,10,-5 >[/math] would be represented as a matrix in the form
  1. [math][[4,10,-5],[0,0,0],[0,0,0]][/math]
  2. [math][ [4,0,0],[0,10,0],[0,0,-5]][/math]
  3. [math][[-5],[10],[4]][/math]
  4. [math][[4],[10],[-5]][/math]
Grade 12 Matrices CCSS: HSN-VM.C.11
The vector [math]< 1,4,7 >[/math] would be represented as a matrix in the form
  1. [math][[1,4,7],[0,0,0],[0,0,0]][/math]
  2. [math][[1],[4],[7]][/math]
  3. [math][[7],[4],[1]][/math]
  4. [math][ [1,0,0],[0,4,0],[0,0,7]][/math]

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