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`[(1,2,4),(-3,2,1)]``[(3,2,1),(3,2,1)]``[(1,4),(2,-3),(2,-3)]`None of these

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CSolution :

By observation there cannot be any left inverse for options (2) and (4). So we will check for options (1) and (3) only. <br> For option (1), let the left inverse be `[(a,b),(c,d),(e,f)]`. Then <br> `[(a,b),(c,d),(e,f)][(1,2,4),(-3,2,1)]=[(1,0,0),(0,1,0),(0,0,1)]` <br> Now, `a-3b=1, 2a+2b=0` and `4a+b=0` which is not possible. For option (3), <br> `[(a,b,c),(d,e,f)][(1,4),(2,-3),(5,4)]=[(1,0),(0,1)]` <br> `implies a+2b+5c=1, 4a-3b+4c=0, d+2e+5f=0, 4d-3e+4f=1` <br> Therefore, there are infinite number of left inverses. <br> `[(1,4),(2,-3),(5,4)][(a,b,c),(d,e,f)]=[(1,0,0),(0,1,0),(0,0,1)]` <br> `implies a+4d=1, 2a-3d=0` and `5a+4d=0` <br> which is not possible. Therefore, there is no right inverse.