Question: assignment for linear algebar 3. BONUS PROBLEM: (10) Prove the following: For any real polynomial p(x) = do+ ...+and, and any complex number z =

assignment for linear algebar

assignment for linear algebar 3. BONUS PROBLEM: (10) Prove the following: For

3. BONUS PROBLEM: (10) Prove the following: For any real polynomial p(x) = do+ ...+and", and any complex number z = a + bi, the equation p( z) = 0 holds over the complex numbers if and only if p(A) = 0 holds, where A is the matrix defined by: A a Please be advised that grading for the bonus question will be fairly strict. Little or no credit will be given for partial or incorrect solutions

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