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

http://img847.imageshack.us/img847/2783/77597781.jpg [Broken]

2. Relevant equations

See below.

3. The attempt at a solution

I get all the way to the last step, but I'm not sure how to perform it.

I get to the point where I have:

[(T^-1)(ax^2+bx+c)][itex]\alpha[/itex]= [T^-1][itex]\alpha\beta[/itex]*[v][itex]\beta[/itex]=

[ a/4 + b/8 - (3c/8)]

[ 3(b+c) - (a/2) ]

[(a/2) - ((b+c)/4) ]

Now, at this point, I need to get those 3 elements into a 2x2 symmetric matrix. At first I just made the top element the repeated element along the diagonal, but apparently this is wrong.

At this point on my homework my teacher wrote, "Now use [itex]\alpha[/itex]={basis v1, basis v2, basis v3} (the given basis in the problem statement).

I'm still not sure exactly what to do at this point. I don't know how to get those three elements into a 2x2 symmetric matrix "under" the basis alpha.

Can someone please show me how to perform this last step? Thanks! :)

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Matrix Problem From Hell - Inverse of Linear Transformation

**Physics Forums | Science Articles, Homework Help, Discussion**