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MG7. Let A, / E C and let p(I) be a polynomial of degree n. Show that (D - p . id)(p(x)er) - q(1)ek where D = 4 is the derivative operator and q(r) is a polynomial of degree n if A / / and degree n-1 if A - p. Use this to prove that for any complex numbers Al, ..., A, and positive integers m1, ...,m,, the functions ....earl Tears . pmy-loArI are linearly independent vectors in the function space Cc(a, b) of continuous, complex-valued functions f : (a, b) => C