Hi guys,

My first post!

Just revising these matrices for an exam tomorrow. I can solve easy ones, like:

If A⁻¹ B C D = I, then C = ?

A A⁻¹ B C D = AI

BCD = A

B⁻¹BCD = B⁻¹A

CD=B⁻¹A

CDD⁻¹=B⁻¹AD⁻¹

C=B⁻¹ A D⁻¹

But, I don't think I am correctly solving the more complicated ones like:

A⁻¹ B C D⁻¹ A = I, then C = ?

I solved it as C = B⁻¹ A D A⁻¹

I don't think this is correct.

My textbook neglects these and my lecture notes have no answers.

I appreciate all help and will monitor the thread over the coming hours and post working etc if asked ..

Thank you.