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Consider F: R^2 -> R^2 where F(1,1) = (3,-2) and F(3,-2) = (4,8). Find the matrix representation of F in the standard basis. Assuming B{(1,1),(1,-1)} is a basis, find the matrix representation of F from B to the standard basis. Also compute A(from B to B).
I have found both the matrix representation in the standard basis and from B to the standard basis. But I have trouble with transformation from B to B.
Is it M(B to standard)*P?
P=
(1 1)
(1 -1)