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(a) (b) Calculate the Jordan canonical form of the matrix MONOM 0+ int and minimal polynomial -3 0 4 2 0 0 7 0

(a) (b) Calculate the Jordan canonical form of the matrix MONOM 0+ int and minimal polynomial -3 0 4 2 0 0 7 0 -6-3 11000 -1 -3 -3 -1 0 1 0 0 0 0 -3, (10 marks) Calculate the number of possible Jordan canonical forms (ignoring re-arrangements of Jordan blocks) for a matrix with characteristic polynomial x6(x+4)7 (x + 7)(x 3)(x - 10)4 x(x + 4)(x + 7) + (x 3)(x - 10).

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