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[{:(2,-6),( 1,-2):}] find inverse of mat...

`[{:(2,-6),( 1,-2):}]` find inverse of matrix

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`Let A= [{:(2,-6),( 1,-2):}]`
` Now , A=IA`
` implies [{:(2,-6),(1,-2):}]=[{:(1,0),(0,1):}]A`
`implies [{:(1,-2),(2,-6):}]=[{:(0,1),(1,0):}]A R_(1) harr R_(2) `
`implies [{:(1,-2),(0,-2):}]=[{:(0,1),(-(1)/(2),-2):}]A R_(2) R_(2) -2R_(1)`
` implies? [{:( 1,-2),( 0,1):}]=[{:(0,1),(-(1)/(2),1):}]A R_(2) to -(1)/(2)R_(2)`
`[{:(1,0),(0,1):}]=[{:(-1,3),(-(1)/(2) ,1):}]A R_(1)to R_(1)+2R_(2)`
`therefore A^(-1) =[{:(-1,3),( -(1)/(2),1):}]A`
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