Give a formula for (ABx)^T, where x is a vector and A and B are matrices of appropriate sizes.

Question

anonymous · Answer

Do you understand the question better?

anonymous · Answer

I don't know if they want you to find an example or come up with a general solution.

anonymous · Answer

I think that it is asking for a general example because it sounds like there are multiple ways to do this. But then again I'm not sure

anonymous · Answer

Why not just let A and B be identity matrices and let x be some vector?

anonymous · Answer

the only other thing I can think to do is... $$
(ABx)^T=b\
ABx = b^T\
x = (AB)^{-1}b^T\
x = B^{-1}A^{-1}b^T
$$

anonymous · Answer

Does that go back to the identity matrices? or is that talking about inverses?

anonymous · Answer

The $^{-1}$ means inverse.

anonymous · Answer

thanks!