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Thank you, that cleared up some of my problems!

Homework Statement Find the matrix representations [T]\alpha and [T]β of the following linear transformation T on ℝ3 with respect to the standard basis: \alpha = {e1, e2, e3} and β={e3, e2, e1} T(x,y,z)=(2x-3y+4z, 5x-y+2z, 4x+7y) Also, find the matrix representation of...