anonymous
  • anonymous
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.
Mathematics
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
\[\left[\begin{matrix}-1 & 0 \\ 5 & -2\end{matrix}\right]\] Is the matrix.
Callisto
  • Callisto
PQ^2 or (PQ) ^2 ?
anonymous
  • anonymous
Just PxQ^2

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Callisto
  • Callisto
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Callisto
  • Callisto
Sorry very poor handwriting and not in a good state today :(
anonymous
  • anonymous
Pretty sure that's the answer. Do you know how to do it with inverses? Or is it even possible with them?
Callisto
  • Callisto
you mean finding the inverse of P?
anonymous
  • anonymous
Sorry, worded that wrong. Can you do it with Matrix algebra?
Callisto
  • Callisto
Sorry, i don't know what matrix algebra is.. :(
anonymous
  • anonymous
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
  • anonymous
But if you don't know how to do it like that then it's fine :) thank anyway!
Callisto
  • Callisto
ah... i learnt it.. but gimme some time to think about it...
anonymous
  • anonymous
Alright cheers :) I tried it but gut it wrong both times :/
Callisto
  • Callisto
that's sth i hate doing in my exam :(
anonymous
  • anonymous
yeah haha :/
Callisto
  • Callisto
the steps are quite messy... :(
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anonymous
  • anonymous
Thank you! haha :)
Callisto
  • Callisto
nah.. i made a mistake!
Callisto
  • Callisto
not a mistake, but some mistakes :S
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anonymous
  • anonymous
what was it?
anonymous
  • anonymous
oh alright
Callisto
  • Callisto
the negative sign, i copied the wrong one and just forgot to correct them :'(
anonymous
  • anonymous
ahh well thanks a lot :)
Callisto
  • Callisto
welcome, glad to help :)

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