Question

Let A and B are singular matrices. Then (AB)-1 is equal to

[1 marks)
h
B-1A-1
A-1B-1
AB^{-1
does not exist​

Answer 1

Answer: D) does not exist.

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Step-by-step explanation:

One matrix rule is that

`(AB)^(-1) = B^(-1)A^(-1)`

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
`A^(-1)` and
`B^(-1)` do not exist. Overall, the product of those two items is also nonexistent.