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Question: linear algebra still need part 4...

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linear algebra still need part 4

(a) Let A = Here take F-R.) (b) Let LA :R2 Find the characteristic polynomial, eigenvalues, and a basis for each (nonzero) eigenspace of A be the map given by LA() Az. Give a basis Bof R2 such that [LAls is diagonal. No explanation is necessary. (c) Let z = (a b)t (where t denotes the transpose). Find a formula for Anz. (d) Let (an) be the Fibonacci sequence, defined by a11, a2 2, and an -an-an-2 for n 3. Find a non- recursive formula for an. (Suggestion: For n 1, set zn (an an+i)t. Then n Axn-1.)

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