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Matrices Questions - All Grades

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Grade 12 Matrices CCSS: HSN-VM.C.6
Which 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.7
If the matrix [math][[2,9,8],[0,3,4],[1,11,3]][/math] is multiplied by the scalar [math]5[/math], what is the result?
  1. [math][[7,14,13],[5,8,9],[6,16,8]][/math]
  2. [math][[10,45,40],[0,15,20],[5,55,15]][/math]
  3. [math][[3,4,1],[11,3,2],[9,8,0]][/math]
  4. [math][[10,0,5],[45,15,55],[40,20,15]][/math]
Grade 12 Matrices CCSS: HSN-VM.C.8
[math][[5,2],[2,1]]-[[2,1],[4,-3]] = [/math]
  1. [math][[3,1],[2,4]][/math]
  2. [math][[7,3],[6,-2]][/math]
  3. [math][[12,6],[2,1]][/math]
  4. [math][[3,1],[-2,4]][/math]
Grade 12 Matrices CCSS: HSN-VM.C.8
[math][[0,2],[5,1]]+[[4,2],[2,7]] = [/math]
  1. [math][[4,4],[7,8]][/math]
  2. [math][[4,0],[3,6]][/math]
  3. [math][[2,9],[9,3]][/math]
  4. [math][[0,12],[45,9]][/math]
Grade 12 Matrices CCSS: HSN-VM.C.10
The 5x5 identity matrix of looks like
  1. [math][[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1]][/math]
  2. [math][[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0]][/math]
  3. [math][[0,0,1,0,0],[0,0,1,0,0],[1,1,1,1,1],[0,0,1,0,0],[0,0,1,0,0]][/math]
  4. A and B
Grade 12 Matrices CCSS: HSN-VM.C.7
If the matrix [math][[27,9,12],[3,0,6],[18,21,3]][/math] is multiplied by the scalar [math]1/3[/math], what is the result?
  1. [math][[9,3,4],[1,0,2],[6,7,1]][/math]
  2. [math][[30,12,14],[6,3,9],[21,24,6]][/math]
  3. [math][[27,9,12],[3,0,6],[18,21,3]][/math]
  4. [math][[9,1,6],[3,0,7],[4,2,1]][/math]
Grade 12 Matrices CCSS: HSA-REI.C.9
Find the inverse of the matrix [math][[1,2],[3,4]][/math]
  1. [math][[-2,1],[3/2,-1/2]][/math]
  2. [math][[4,-2],[-3,1]][/math]
  3. [math][[4,2],[3,1]][/math]
  4. [math][[1,-2],[-3,4]][/math]
Grade 12 Matrices CCSS: HSA-REI.C.8
Which matrix below properly represents the system of equations?
[math]3x+8y-23z=14[/math], [math]34x-2y+53z=102[/math], [math]18x+51y+4z=16[/math]
  1. [math][[3,34,18],[8,-2,51],[-23,53,4]]*[[x],[y],[z]]=[[14],[102],[16]][/math]
  2. [math][[3,8,-23],[34,-2,53],[18,51,4]]*[[x],[y],[z]]=[[14],[102],[16]][/math]
  3. [math][ [3,34,18],[8,-2,51],[-23,53,4] ]*[[z],[y],[x]]=[[16],[102],[14]][/math]
  4. [math][ [3,8,-23],[34,-2,53],[18,51,4] ]*[[x],[y],[z]]*[[14],[102],[16]][/math]
Grade 12 Matrices CCSS: HSA-REI.C.9
Find the inverse of the matrix [math][[0,6],[2,8]][/math]
  1. [math][[4/6,2/4],[2/12,6/0]][/math]
  2. [math][[-2/3,1/2],[1/6,0]][/math]
  3. [math][[0,1/2],[1/6,2/3]][/math]
  4. [math][[96,-72],[-24,0]][/math]
Grade 12 Matrices CCSS: HSN-VM.C.6
Jack is keeping track of the scores for his favorite teams 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: HSA-REI.C.9
Find the inverse of the matrix [math][[2,5],[1,6]][/math]
  1. [math][[42,-35],[-7,14]][/math]
  2. [math][[6/17,-5/17],[-1/17,2/17]][/math]
  3. [math][[2/7,5/7],[1/7,6/7]][/math]
  4. [math][[6/7,-5/7],[-1/7,2/7]][/math]
Grade 12 Matrices CCSS: HSN-VM.C.7
If the matrix [math][[6,8,9],[1,0,2],[3,6,2]][/math] is multiplied by the scalar 3, what is the result?
  1. [math][[9,11,12],[4,3,5],[8,9,5]][/math]
  2. [math][[18,24,27],[3,0,6],[9,18,6]][/math]
  3. [math][[3,5,6],[-2,-3,-1],[0,3,-1]][/math]
  4. [math][[9,8,6],[2,0,1],[2,6,3]][/math]
Grade 12 Matrices CCSS: HSN-VM.C.6
Which 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: HSA-REI.C.9
Find the inverse of the matrix [math] [[10,3],[2,4]] [/math]
  1. [math][[5/17,3/34],[1/17,2/17]][/math]
  2. [math][[2/23,-3/46],[-1/23,5/23]][/math]
  3. [math][[2/17,-3/34],[-1/17,5/17]][/math]
  4. [math][[4,-3],[-2,10]][/math]
Grade 12 Matrices CCSS: HSN-VM.C.8
[math][[5,2],[1,3]]xx[[4,3],[2,6]] = [/math]
  1. [math][[20,6],[2,18]][/math]
  2. [math][[26,14],[8,24]][/math]
  3. [math][[10,12],[4,9]][/math]
  4. [math][[20,3],[4,18]][/math]
Grade 12 Matrices CCSS: HSN-VM.C.7
If the matrix [math][[2,8,12],[3,4,0],[8,10,4]][/math] is multiplied by the scalar [math]1/2[/math], what is the result?
  1. [math][[4,16,24],[6,8,0],[16,20,8]][/math]
  2. [math][[12,8,2],[0,4,3],[4,10,8]][/math]
  3. [math][[4,6,16],[16,8,20],[24,0,8]][/math]
  4. [math][[1,4,6],[1.5,2,0],[4,5,2]][/math]
Grade 12 Matrices CCSS: HSN-VM.C.8
[math][[3,4],[2,6]]+[[1,5],[3,8]] = [/math]
  1. [math][[2,-1],[-1,-2]][/math]
  2. [math][[3,20],[6,48]][/math]
  3. [math][[4,9],[5,14]][/math]
  4. [math][[18,24],[22,60]][/math]
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