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QUESTION

9. Suppose A E M7x7(C) is a matrix with characteristic polynomialXA (t) = (2 - t)2(3 -t)2(4- t)3a) Can A be always diagonalized?b) What could be the diagonalized form of A?c) What is the difference between difference diagonalized forms of A?d) Can you construct a matrix with the given charactristic polynomial that its determinant is equal tothe first three digits of your student id?

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