Thread: Help with a problem

Assuming that all matrices are and invertible, solve for :



I realized that I would someone have to reduce everything to the right of to and everything to the left would be

So for the "right side", I started with since and therefore:

would result in

For the "left size", I started with since

Multiplying the "left" with the "right" to satisfy the whole equation, I ended up with:



Is this correct, or at the very least is my though process correct and if so, what possible errors are there? Thank you.

Originally Posted by Pinkk

Assuming that all matrices are and invertible, solve for :



I realized that I would someone have to reduce everything to the right of to and everything to the left would be

So for the "right side", I started with since and therefore:

would result in

For the "left size", I started with since

Multiplying the "left" with the "right" to satisfy the whole equation, I ended up with:



Is this correct, or at the very least is my though process correct and if so, what possible errors are there? Thank you.

Yes it is

You can check it yourself, By substituting your D in the first equation and seeing if it satisfies

Thank you. I checked it and it did work, but I wanted to make sure I was conveying the theorems of matrix invertibility, etc correctly. I'm having a bit harder time grasping linear algebra than I did grasping Calc 1,2, and 3.