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# Common Core Standard HSA-REI.C.9 Questions

(+) Find the inverse of a matrix if it exists and use it to solve systems of linear equations (using technology for matrices of dimension 3 × 3 or greater).

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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. $[[1,-2],[-3,4]]$
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. $[[96,-72],[-24,0]]$
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. $[[6/7,-5/7],[-1/7,2/7]]$
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. $[[4,-3],[-2,10]]$
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. $[[-6,2],[4,-5]]$