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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!

 Apr 2, 2021
 #1
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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).

 Apr 2, 2021

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