Using elementary transformations, find the inverse of the matrix`[[3,-1],[-4, 2]]`

Explanation

Let `A=[[3,-1],[-4, 2]]`

`A=IA`

`[[3,-1],[-4, 2]]``=``[[1,0],[0,1]]`.`A`


`R_1->R_1+R_2`

`=>[[-1,1],[-4,2]]=[[1,1],[0,1]].A`

`R_2->R_2-4R_1`

`[[1,-1],[0,-2]]=[[-1,-1],[-4,-3]].A`

`R_1->R_1-R_2/2`

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