Problem

Suppose that L1 : V → W and L2 : W → Z are linear transformations and E, F, and G are or...

Suppose that L1 : V W and L2 : W 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 B represents L2 relative to F and G, then the matrix C = BA represents L2 o L1 : V Z relative to E and G. [Hint: Show that BA[v]E = [(L2 o L1)(v)]G for all v V.]

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Solutions For Problems in Chapter 4.2