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[{:(2,3),(5,7):}] find the inverse of t...

`[{:(2,3),(5,7):}]` find the inverse of the matrix

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`Let A=[{:(2,3),(5,7):}]`
`now ,A A^(-1)=I`
`[{:(2,3),(5,7):}]A^(-1)=[{:(1,0),(0,1):}]`
`implies [{:(1,(3)/(2)),(5,7):}]A^(-1)=[{:((1)/(2),0),(0,1):}]R_(1)to (1)/(2)R_(1)`
`implies [{:(1,(3)/(2)),(0,(-1)/(2)):}]A^(-1)=[{:((1)/(2),0),((-5)/(2),1):}]R_(2)toR_(2)-5R_(1)`
`implies [{:(1,(3)/(2)),)(0,1)):}]A^(-1)=[{:((1)/(2),0),(5,-2):}]R_(2)to -2R_(2)`
`implies [{:(1,0),(0,1):}]A^(-1)=[{:(-7,3),(5,-2):}]R_(1)to R_(1)-(3)/(2)R_(2)`
`implies A^(-1)=[(-7,3),(5,-2):}].`
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