Mathematics, 03.03.2020 05:59, notseansafe

Suppose that L1 : V → W and L2 : W → Z arelinear transformations and E, F, and G are orderedbases for V, W, and Z, respectively. Show that, if Arepresents L1 relative to E and F and B representsL2 relative to F and G, then the matrix C = BA representsL2 ◦ L1: V → Z relative to E and G. Hint:Show that BA[v]E = [(L2 ◦ L1)(v)]G for all v ∈ V.

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Suppose that L1 : V → W and L2 : W → Z arelinear transformations and E, F, and G are orderedbases fo...