Question: 9. Suppose A E M7x7(C) is a matrix with characteristic polynomial XA (t) = (2 - t)2(3 -t)2(4- t)3 a) Can A be always diagonalized?

9. Suppose A E M7x7(C) is a matrix with characteristic polynomial XA (t) = (2 - t)2(3 -t)2(4- t)3 a) 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 to the first three digits of your student id

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