Given \(\mathbf{A}^{-1} = \begin{pmatrix} 2 & 3 \\ -1 & 0 \end{pmatrix} \quad \text{and} \quad \mathbf{B}^{-1} = \begin{pmatrix} 0 & 4 \\ 1 & 5 \end{pmatrix} ,\)
find the inverse of AB.
Thanks!
Follow these steps:
1) Find the inverse of A-1; this will be A.
2) Find the inverse of B-1; this will be B.
3) Find the product of A and B; this will be AB.
4) Lastly, find the inverse of AB (your answer to step 3).
