Find P for
P=Q+PQ+PQ^2
Where Q is a matrix 2x2 with the numbers [-1 0] in the top row and [5 -2] in the bottom row.

Question

Find P for
P=Q+PQ+PQ^2
Where Q is a matrix 2x2 with the numbers [-1 0] in the top row and [5 -2] in the bottom row.

anonymous · Answer

$$\left[\begin{matrix}-1 & 0 \ 5 & -2\end{matrix}\right]$$

Is the matrix.

callisto · Answer

PQ^2 or (PQ) ^2 ?

anonymous · Answer

Just PxQ^2

callisto · Answer

attachment

callisto · Answer

Sorry very poor handwriting and not in a good state today :(

anonymous · Answer

Pretty sure that's the answer. Do you know how to do it with inverses? Or is it even possible with them?

callisto · Answer

you mean finding the inverse of P?

anonymous · Answer

Sorry, worded that wrong. Can you do it with Matrix algebra?

callisto · Answer

Sorry, i don't know what matrix algebra is.. :(

anonymous · Answer

If you had

AC=B

To get A on it's own you have to pre multiply by the inverse of C since CxC^-1 = I

So ACC^-1=BC^-1
A=BC^-1

It's what i'm learning now so i guessed that's how the question had to be answered.

anonymous · Answer

But if you don't know how to do it like that then it's fine :) thank anyway!

callisto · Answer

ah... i learnt it.. but gimme some time to think about it...

anonymous · Answer

Alright cheers :) I tried it but gut it wrong both times :/

callisto · Answer

that's sth i hate doing in my exam :(

anonymous · Answer

yeah haha :/

callisto · Answer

the steps are quite messy... :(

anonymous · Answer

Thank you! haha :)

callisto · Answer

nah.. i made a mistake!

callisto · Answer

not a mistake, but some mistakes :S

anonymous · Answer

what was it?

anonymous · Answer

oh alright

callisto · Answer

the negative sign, i copied the wrong one and just forgot to correct them :'(

anonymous · Answer

ahh well thanks a lot :)

callisto · Answer

welcome, glad to help :)