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find inverse using elementary operations` [[6,-3],[-2,1]]`

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