Question

If A and B are invertible matrices of the same order, then (AB)^-1 is equal to ____________.

पर्याय

• `"A"^-1 "B"^-1`

• `"B"^-1 "A"^-1`

• `"AB"^-1`

• `"A"^-1 "B"`

Answer 1

If A and B are invertible matrices of the same order, then (AB)^-1 is equal to `underline("B"^-1 "A"^-1)`.

Explanation:

By the inverse property, (AB)^-1 equals B^-1A^-1.