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# Twelfth Grade (Grade 12) Matrices Questions

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Grade 12 Matrices CCSS: HSN-VM.C.6
Which matrix represents the system of equations $2x=8$ and $6=3y+x$?
1. $[[2,8,0],[6,3,1]]$
2. $[[8,2,0],[6,3,1]]$
3. $[[0,2,8],[6,3,1]]$
4. $[[2,0,8],[1,3,6]]$
Grade 12 Matrices CCSS: HSN-VM.C.7
If the matrix $[[2,9,8],[0,3,4],[1,11,3]]$ is multiplied by the scalar $5$, what is the result?
1. $[[7,14,13],[5,8,9],[6,16,8]]$
2. $[[10,45,40],[0,15,20],[5,55,15]]$
3. $[[3,4,1],[11,3,2],[9,8,0]]$
4. $[[10,0,5],[45,15,55],[40,20,15]]$
Grade 12 Matrices CCSS: HSN-VM.C.8
$[[5,2],[2,1]]-[[2,1],[4,-3]] =$
1. $[[3,1],[2,4]]$
2. $[[7,3],[6,-2]]$
3. $[[12,6],[2,1]]$
4. $[[3,1],[-2,4]]$
Grade 12 Matrices CCSS: HSN-VM.C.8
$[[0,2],[5,1]]+[[4,2],[2,7]] =$
1. $[[4,4],[7,8]]$
2. $[[4,0],[3,6]]$
3. $[[2,9],[9,3]]$
4. $[[0,12],[45,9]]$
Grade 12 Matrices CCSS: HSN-VM.C.7
If the matrix $[[27,9,12],[3,0,6],[18,21,3]]$ is multiplied by the scalar $1/3$, what is the result?
1. $[[9,3,4],[1,0,2],[6,7,1]]$
2. $[[30,12,14],[6,3,9],[21,24,6]]$
3. $[[27,9,12],[3,0,6],[18,21,3]]$
4. $[[9,1,6],[3,0,7],[4,2,1]]$
Grade 12 Matrices CCSS: HSA-REI.C.9
Find the inverse of the matrix $[[1,2],[3,4]]$
1. $[[-2,1],[3/2,-1/2]]$
2. $[[4,-2],[-3,1]]$
3. $[[4,2],[3,1]]$
4. $[[1,-2],[-3,4]]$
Grade 12 Matrices CCSS: HSN-VM.C.10
The 5x5 identity matrix of looks like
1. $[[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1]]$
2. $[[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0]]$
3. $[[0,0,1,0,0],[0,0,1,0,0],[1,1,1,1,1],[0,0,1,0,0],[0,0,1,0,0]]$
4. A and B
Grade 12 Matrices CCSS: HSA-REI.C.8
Which matrix below properly represents the system of equations?
$3x+8y-23z=14$, $34x-2y+53z=102$, $18x+51y+4z=16$
1. $[[3,34,18],[8,-2,51],[-23,53,4]]*[[x],[y],[z]]=[[14],[102],[16]]$
2. $[[3,8,-23],[34,-2,53],[18,51,4]]*[[x],[y],[z]]=[[14],[102],[16]]$
3. $[ [3,34,18],[8,-2,51],[-23,53,4] ]*[[z],[y],[x]]=[[16],[102],[14]]$
4. $[ [3,8,-23],[34,-2,53],[18,51,4] ]*[[x],[y],[z]]*[[14],[102],[16]]$
Grade 12 Matrices CCSS: HSA-REI.C.9
Find the inverse of the matrix $[[0,6],[2,8]]$
1. $[[4/6,2/4],[2/12,6/0]]$
2. $[[-2/3,1/2],[1/6,0]]$
3. $[[0,1/2],[1/6,2/3]]$
4. $[[96,-72],[-24,0]]$
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. $[[67,103,89],[109,86,111],[42,99,121]]$
2. $[[67,86,99],[103,109,121],[89,111,42]]$
3. $[[42,99,121],[111,86,109],[67,103,89]]$
4. $[[67,109,42],[103,86,99],[89,111,122]]$
Grade 12 Matrices CCSS: HSA-REI.C.9
Find the inverse of the matrix $[[2,5],[1,6]]$
1. $[[42,-35],[-7,14]]$
2. $[[6/17,-5/17],[-1/17,2/17]]$
3. $[[2/7,5/7],[1/7,6/7]]$
4. $[[6/7,-5/7],[-1/7,2/7]]$
Grade 12 Matrices CCSS: HSN-VM.C.8
$[[5,2],[1,3]]xx[[4,3],[2,6]] =$
1. $[[20,6],[2,18]]$
2. $[[26,14],[8,24]]$
3. $[[10,12],[4,9]]$
4. $[[20,3],[4,18]]$
Grade 12 Matrices CCSS: HSN-VM.C.7
If the matrix $[[6,8,9],[1,0,2],[3,6,2]]$ is multiplied by the scalar 3, what is the result?
1. $[[9,11,12],[4,3,5],[8,9,5]]$
2. $[[18,24,27],[3,0,6],[9,18,6]]$
3. $[[3,5,6],[-2,-3,-1],[0,3,-1]]$
4. $[[9,8,6],[2,0,1],[2,6,3]]$
Grade 12 Matrices CCSS: HSN-VM.C.6
Which matrix represents the system of equations $3y+8x=16$ and $2x-4y=7$?
1. $[[3,8,16],[2,-4,7]]$
2. $[[16,8,3],[7,-4,2]]$
3. $[[8,3,16],[2,-4,7]]$
4. $[[7,-4,2],[16,8,3]]$
Grade 12 Matrices CCSS: HSA-REI.C.9
Find the inverse of the matrix $[[10,3],[2,4]]$
1. $[[5/17,3/34],[1/17,2/17]]$
2. $[[2/23,-3/46],[-1/23,5/23]]$
3. $[[2/17,-3/34],[-1/17,5/17]]$
4. $[[4,-3],[-2,10]]$
Grade 12 Matrices CCSS: HSN-VM.C.8
$[[3,4],[2,6]]+[[1,5],[3,8]] =$
1. $[[2,-1],[-1,-2]]$
2. $[[3,20],[6,48]]$
3. $[[4,9],[5,14]]$
4. $[[18,24],[22,60]]$
Grade 12 Matrices CCSS: HSN-VM.C.7
If the matrix $[[2,9,8],[0,3,4],[1,11,3]]$ is multiplied by the scalar $3$, what is the result?
1. $[[2/3,3,8/3],[0,1,4/3],[1/3,11/3,1]]$
2. $[[6,0,3],[27,9,33],[24,16,12]]$
3. $[[5,12,11],[3,6,7],[4,14,7]]$
4. $[[6,27,24],[0,9,12],[3,33,9]]$
Grade 12 Matrices CCSS: HSN-VM.C.7
If the matrix $[[2,8,12],[3,4,0],[8,10,4]]$ is multiplied by the scalar $1/2$, what is the result?
1. $[[4,16,24],[6,8,0],[16,20,8]]$
2. $[[12,8,2],[0,4,3],[4,10,8]]$
3. $[[4,6,16],[16,8,20],[24,0,8]]$
4. $[[1,4,6],[1.5,2,0],[4,5,2]]$
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