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## Matrix Operations

1.
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. $[[9,1,6],[3,0,7],[4,2,1]]$
2.
$[[3,4],[2,6]]+[[1,5],[3,8]] =$
1. $[[2,-1],[-1,-2]]$
2. $[[3,20],[6,48]]$
3. $[[4,9],[5,14]]$
4. $[[18,24],[22,60]]$
3.
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. $[[6,27,24],[0,9,12],[3,33,9]]$
4.
$[[5,2],[2,1]]-[[2,1],[4,-3]] =$
1. $[[3,1],[2,4]]$
2. $[[7,3],[6,-2]]$
3. $[[12,6],[2,1]]$
4. $[[3,1],[-2,4]]$
5.
$[[0,2],[5,1]]+[[4,2],[2,7]] =$
1. $[[4,4],[7,8]]$
2. $[[4,0],[3,6]]$
3. $[[2,9],[9,3]]$
4. $[[0,12],[45,9]]$
6.
Find the inverse of the matrix $[[5,2],[4,6]]$.
1. $[[3/11,-1/11],[-2/11,5/22]]$
2. $[[6,-2],[-4,5]]$
3. $[[132,-44],[-88,110]]$
4. $[[-6,2],[4,-5]]$
7.
$[[5,2],[1,3]]xx[[4,3],[2,6]] =$
1. $[[20,6],[2,18]]$
2. $[[24,27],[10,21]]$
3. $[[10,12],[4,9]]$
4. $[[20,3],[4,18]]$
8.
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. $[[1,-2],[-3,4]]$
9.
$[[15,8],[6,2]]-[[3,-12],[8,-5]] =$
1. $[[18,-4],[14,-3]]$
2. $[[12,20],[2,-7]]$
3. $[[12,20],[-2,7]]$
4. $[[-18,4],[-14,3]]$
10.
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. $[[4,-3],[-2,10]]$
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