Find the inverse of the matrix A=abc1+bca and show that aA-1=(a2+bc+1)I-aA

Find the inverse of the matrix $A = [\begin{matrix} a & b \\ c & \frac{1 + b c}{a} \end{matrix}]$ and show that $a A^{- 1} = (a^{2} + b c + 1) I - a A$

Matching exercise

Match the items on the right to the items on the left.

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