Find the inverse of the `matrix A= [(1,b),(c,(1+bc)/a]` and show that `aA^(-1)=(a^2+b c+1)I-a A`

Find the inverse of the matrix A=[(a, b),( c,(1+b c)/a)] and show that a A^(-1)=(a^2+b c+1)I-a A .

Find the inverse of the matrix : A = {:[(a,b),(c,(1+bc)/a)] .

Find the inverse of the matrix A = {:[(a,b),(c,(1+bc)/a)] and show that : aA^-1 = (a^2+bc+1)I-aA

Find the inverse of the matrix A=[abc(1+bc)/(a)] and show that aA^(-1)=(a^(2)+bc+1)I-aA

Find the inverse of the matrix : A = {:[(a,b),(c,(1+bc)/a)] and show that : A^-1=1/19A

Find the transpose of the matrix : A = {:[(a,b),(c,(1+bc)/a)]

Find the inverse of the matrix : A = {:[(a,b),(c,(1+bc)/a)] and show that : 1/7{:[(2,-1),(1,3)]

Find the inverse of the matrix A = [[a,b],[c, frac{1+bc}{a}]] and show that: aA^-1 = (a^2 + bc + 1) I - aA.

Find the determinant of the matrix : A = {:[(a,b),(c,(1+bc)/a)]

Find the inverse of the matrix : A = {:[(a,b),(c,(1+bc)/a)] and show that : {:[(1/3,-2/3),(-2/3,1)]