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Common Core Standard HSN-VM.C.6 Questions

(+) Use matrices to represent and manipulate data, e.g., to represent payoffs or incidence relationships in a network.

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Grade 12 Matrices CCSS: HSN-VM.C.6
Which of the following matrix equations correctly represents this system of equations?
[math]4x + 3y - z = 12, \ \ 3y+x+z= 10, \ \ 8x - z - 3y = 1[/math]
  1. [math][[4,3,-1],[3,1,1],[8,-1,-3]] [[x],[y],[z]] = [[12],[10],[1]] [/math]
  2. [math][[4,3,-1],[3,1,1],[8,-1,-3]] [[12],[10],[1]] = [[x],[y],[z]] [/math]
  3. [math][[4,3,-1],[1,3,1],[8,-3,-1]] [[x],[y],[z]] = [[12],[10],[1]] [/math]
  4. [math][[4,1,8],[3,3,-3],[-1,1,-1]] [[x],[y],[z]] = [[12],[10],[1]] [/math]
Grade 12 Matrices CCSS: HSN-VM.C.6

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Which of the following operations would result in a 2-by-2 matrix, with only the first and third points as elements? Let this matrix be called B.
  1. [math]B = [[1,0,1,0,0],[1,0,1,0,0]] A[/math]
  2. [math]B = A [[1,1],[0,0],[1,1],[0,0],[0,0]][/math]
  3. [math]B = A [[1,0],[0,0],[0,1],[0,0],[0,0]][/math]
  4. [math]B = [[1,0,0,0,0],[0,0,1,0,0]] A[/math]
Grade 12 Matrices CCSS: HSN-VM.C.6

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Which of the following operations would create a matrix, called C, where each element is the difference of the respective coordinates of the two points? I.e., the first element is the difference of the two x-coordinates.
  1. [math]C = B[[1,-1]][/math]
  2. [math]C = [[1,-1]] B[/math]
  3. [math]C = [[1],[-1]] B[/math]
  4. [math]C = B [[1],[-1]][/math]
Grade 12 Matrices CCSS: HSN-VM.C.6
Which augmented matrix represents the system of equations [math]2x=8[/math] and [math]6=3y+x[/math]?
  1. [math][[2,8,,0],[6,3,,1]][/math]
  2. [math][[8,2,,0],[6,3,,1]][/math]
  3. [math][[0,2,,8],[6,3,,1]][/math]
  4. [math][[2,0,,8],[1,3,,6]][/math]
Grade 12 Matrices CCSS: HSN-VM.C.6
Which augmented matrix represents the system of equations [math]3y+8x=16[/math] and [math]2x-4y=7[/math]?
  1. [math][[3,8,,16],[2,-4,,7]][/math]
  2. [math][[16,8,,3],[7,-4,,2]][/math]
  3. [math][[8,3,,16],[2,-4,,7]][/math]
  4. [math][[7,-4,,2],[16,8,,3]][/math]
Grade 12 Matrices CCSS: HSN-VM.C.6
Jack is keeping track of the scores for his favorite teams in a series of basketball games. He records the initials of the team and score for each game. Which matrix represents the data he collected?
Round 1
SC 67
RG 103
PD 89

Round 2
RG 109
SC 86
PD 111

Round 3
PD 42
SC 99
RG 121
  1. [math][[67,103,89],[109,86,111],[42,99,121]][/math]
  2. [math][[67,86,99],[103,109,121],[89,111,42]][/math]
  3. [math][[42,99,121],[111,86,109],[67,103,89]][/math]
  4. [math][[67,109,42],[103,86,99],[89,111,122]][/math]
Grade 12 Matrices CCSS: HSN-VM.C.6
Which augmented matrix represents the system of equations [math]2x+5y=32[/math] and [math]4x-3y=14[/math]?
  1. [math][[-2,-5,, -32],[-4,3,, -14]][/math]
  2. [math][[2,5,,32],[4,-3,,14]][/math]
  3. [math][[32,5,,2],[4,-3,,14]][/math]
  4. [math][[2,32,,5],[14,-3,,4]][/math]
Grade 12 Matrices CCSS: HSN-VM.C.6
Which augmented matrix represents the system of equations [math]y-x=18[/math] and [math]x-4=2y[/math]?
  1. [math][[1,-2,,4],[-1,1,,18]][/math]
  2. [math][[1,-1,,18],[1,2,,-4]][/math]
  3. [math][[18,-1,,1],[2,-4,,1]][/math]
  4. [math][[1,18,,-1],[1,2,,-4]][/math]

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