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Twelfth Grade (Grade 12) Matrices Questions

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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.7
If the matrix [math][[2,9,8],[0,3,4],[1,11,3]][/math] is multiplied by the scalar 5, 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: 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.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: 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
Perform the indicated operations. If the matrix does not exist, choose impossible.

[math][[8,3],[-1,-1]]-[[0,-7],[6,2]][/math]
  1. [math][[-8,-10],[-7,-3]][/math]
  2. [math][[-3,10],[-7,8]][/math]
  3. [math]"Impossible"[/math]
  4. [math][[8,10],[-7,-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: 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: HSA-REI.C.8
Which matrices below properly represent 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
Evaluate: [math]([(-13,-20),(18,-4)]-[(0,9),(-19,-20)]) + [(-16,5),(7,-6)][/math]
  1. [math][(29,-24),(44,-10)][/math]
  2. [math][(-13,24),(-10,44)][/math]
  3. [math][(-29,-24),(44,10)][/math]
  4. None of the above
Grade 12 Matrices
Evaluate: [math]3[[8],[0],[-3]]-4[[2],[2],[10]][/math]
  1. [math]"Impossible"[/math]
  2. [math][[16],[-8],[-49]][/math]
  3. [math][[-49],[-8],[16]][/math]
  4. [math][[16,-8,-49]][/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 1/2, 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.7
If the matrix [math][[2,9,8],[0,3,4],[1,11,3]][/math] is multiplied by the scalar 3, what is the result?
  1. [math][[2/3,3,8/3],[0,1,4/3],[1/3,11/3,1]][/math]
  2. [math][[6,0,3],[27,9,33],[24,16,12]][/math]
  3. [math][[5,12,11],[3,6,7],[4,14,7]][/math]
  4. [math][[6,27,24],[0,9,12],[3,33,9]][/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.11
The matrix [math][[1,2,3],[4,5,6],[7,8,9]][/math] multiplied by the vector [math]< 1,2,3 >[/math] equals:
  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]
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