More linear transformations (given in comments) :)

Question

anonymous · Answer

Consider linear transformation$$T: \mathbb{R}^2\rightarrow \mathbb{R}^2$$ given by $$T([x_1,x_2]) = [x_1 - x_2, x_1 + 2x_2]$$and two ordered bases in R^2:

B = {[1,1],[2,1]} and B' = {[1,0],[0,1]}

Find the matrices A_B and A_B' of the given linear transformation T, with respect to the given ordered bases B and B'.

Determine the invertible matrix C such that $$A_{B'} = C^{-1}A_BC$$

anonymous · Answer

I realize this may be quite an involved question, but I am at a loss as to how to start, so any advice is greatly appreciated :) thanks :)

dumbcow · Answer

not sure on this one...sorry

anonymous · Answer

OK :( cheers anyway :)

anonymous · Answer

I found some stuff on internet seems to explain this OK, u want? http://www.millersville.edu/~bikenaga/linear-algebra/matrix-linear-trans/matrix-linear-trans.pdf