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Question
The inverse of the matrix `[[1,-1],[2,3]]` is ...............
(A) `1/5[[3,-1],[-2,1]]`
(B) `1/5[[3,1],[-2,1]]`
(C) `1/5[[-3,1],[-2,1]]`
(D) `1/5[[3,-1],[2,-1]]`
Solution
(B) `1/5[[3,1],[-2,1]]`
if `A=[[a,b],[c,d]]`, then `A^-1=1/(ad-bc)[[d,-b],[-c,a]]`
`therefore A=1/5[[3,1],[-2,1]]`
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