find the inverse of matrix `A=[{:(4,7),(3,5):}]` by using elementary column transformation .

Answer

N/a

Explanation

we have that :
`implies [{:(4,7),(3,5)]=A[{:(1,0),(0,1):}]`
`implies [{:(1,7),((3)/(4),5):}]=A[{:((1)/(4),0),(0,1):}](C_(1)to (1)/(4)C_(1))`
`implies[{:(1,0),((3)/(4),-(1)/(4)):}]=A[{:((1)/(4),(7)/(4)),(0,1):}](C_(2)to C_(2)-7C_(1))`
`implies [{:(1,0),((3)/(4),1):}]=A[{:((1)/(4),7),(0,-4):}](C_(2)to-4C_(2))`
`implies {:(1,0),(0,1):}]=A[{:(-5,7),(3,-4):}](C_(1)to C_(1)-(3)/(4)C_(2))`
`A^(-1)=[{:(-5,7),(3,-4):}].`