L: R^2=>R^2 is defined by L(x,y)= (x+2y), (2x-y)(adsbygoogle = window.adsbygoogle || []).push({});

let S be the natural basis for R^2 and T=(-1,2), (2,0). T is another basis for R^2.

Find the matrix representing L with respect to

A) S

B) S and T

C) T and S

D) T

E) Compute L

L(1,2)

using the definition of L and also the matrices obtained in a,b,c,d.

I am pretty lost here. I plugged in 1,0 0,1 for the natural basis, solving for part A. plugged in T=(-1,2), (2,0) to solve for part C. Is this correct? Any ideas on the rest?

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# Homework Help: Matrix of Linear Transformations

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