Suppose that the characteristic polynomial of some matrix, 4 is found to be p() = ( -

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Suppose that the characteristic polynomial of some matrix, 4 is found to be
p(λ) = (λ - 1)(λ - 3)2(λ-4)3 In each part, answer the question and explain your reasoning
(a) What is the size o f A?
(b) Is A invertible?
(c) How many eigenspaces does A have?
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