Suppose that L1: V → W and L2: Z are linear transformations and E, F, and G are ordered bases for V, W, and Z, respectively. Show that, if A represents L1 relative to E and F and 6 represents L2 relative to F and G, then the matrix C = BA represents L2 ° Ll : V → Z relative to F and G. [Hint : Show that BA[v]E = [(L2 ° L1)(v)]G for all v ∈ V.]