Answer: D) does not exist.
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Explanation:
One matrix rule is that
[tex](AB)^{-1} = B^{-1}A^{-1}[/tex]
The order is important because matrix multiplication is not commutative.
However, we're told that A and B are singular matrices. By definition, a singular matrix is one that doesn't have an inverse. This means [tex]A^{-1}[/tex] and [tex]B^{-1}[/tex] do not exist. Overall, the product of those two items is also nonexistent.
