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Question
Find the matrix X for which:
`[(5, 4),(1,1)]` X=`[(1,-2),(1,3)]`
Solution
`[(5, 4),(1,1)]` X =`[(1,-2),(1,3)]`
Let A = `[(5,4),(1,1)], "B" = [(1,-2),(1,3)]` . Now, |A| = 5 - 4 = 1
adj A = `[(1,-1),(-4,5)]^"t"=[(1,-4),(-1,5)]`
X = A-1B
= `("adj A")/|"A"|`. B = `[(1,-4),(-1,5)][(1,-2),(1,3)]`
X = `[(-3,-14),(4,17)]`
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