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

T : U -> V is a linear map defined by

T(a,b) = (a-b,a+b)

write down the matrix T using the standard basis of R^2

2. Relevant equations

3. The attempt at a solution

basis of V = { (1,1) , (-1,1) }

standard basis of R^2 is (1,0) and (0,1)

and the matrix T is essentially ( T(1,0) T(0,1) ) right? where T is a 2x2 matrix

but I don't know how to evaluate T(1,0) and T(0,1)...

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# Homework Help: Linear transformation

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