Consider the subspace W of , given by W span(sin x, cos x). (a) Show that the

Chapter 6, Problem 6.6.13

(choose chapter or problem)

Consider the subspace W of , given by W span(sin x, cos x). (a) Show that the differential operator D maps W into itself. (b) Find the matrix of D with respect to (c) Compute the derivative of f(x) 3 sin x 5 cos x indirectly, using Theorem 6.26, and verify that it agrees with f(x) as computed directly.

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