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Find the matrix `X` satisfying the matrix equation: `X[[5, 3],[-1,-2]]=[[14,7] ,[7, 7 ]]` .

Text Solution

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Let `A=[[5, 3], [-1, -2]]` and `B=[[14, 7], [7, 7]]`
`X=A^(-1)B`
`|A|=-7`
`adj A=[[-2, -3], [1, 5]]`
`A^(-1)=1/7 [[2, 3], [-1, -5]]`
`X=1/7[[2, 3], [-1, -5]] [[14, 7], [7, 7]]`
`=[[7, 5], [-7, -6]]`
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