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[{:(2,5),(1,3):}]...

`[{:(2,5),(1,3):}]`

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`Let A=[{:(2,5),(1,3):}]`
`now , A=IA`
`implies [{:(2,5),(1,3):}]=[{:(1,0),(0,1):}]A`
`implies [{:(1,2),(1,3):}]=[{:(1,-1),(0,1):}]AR_(1)to R_(1)-R_(2)`
`[{:(1,(1)/(2)),(0,1):}]=[{:((1)/(2),0),(-7,2):}]AR_(2)to 2R_(2)``implies[{:(1,0),(0,1):}]=[{:(4,-1),(-7,2):}]AR_(1) to R_(1)-(1)/(2)R_(2)`
`therefore A^(-1)=[{:(4,-1),(-7,2):}]`
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