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mathmathmad
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Homework Statement
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
Homework Equations
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)...