(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

From AB=C find a formula for A^-1. Also, from PA=LU find A^-1

3. The attempt at a solution

My answers were (A^-1)=(C^-1)(B) and (L^-1)(U^-1)(P)=(A^-1).

The answers in the back of the book are (A^-1)=(B)(C^-1) and (A^-1)=(U^-1)(L^-1)(P)

Would I say that my canceling of matrices is wrong? Would I call what I am trying to do 'cancelling matrices'? What should I be considering when trying to carry out operations such as these?

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# Homework Help: Linear Algebra and Canceling

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