Question: 5. A diagonal matrix like A = Lo 2] satisfies the usual rule e(+T) = estes, because the rule holds for each diagonal entry. (a)

5. A diagonal matrix like A = Lo 2] satisfies the usual rule e(+T) = estes, because the rule holds for each diagonal entry. (a) Explain why A(t+?) = eAteAT, using the formula eAt = SetS-1. (b) Show that eAth = eres is not true for matrices, from the example 0 A = B = (use series for ed and eB). 0 0

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