MATH0005 L63a: the change of basis formula

MATH0005 L63a: if we have a linear map T: V → W, two different bases B and B' of V, and two different bases C and C' of W, the relationship between the matrix of T with respect to initial basis B and final basis C and the matrix of T with respect to initial basis B' and final basis C' is described by the change of basis formula, which is stated and proved.