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You are told M is a matrix with the given minimum and characteristic polynomials Give all...

You are told M is a matrix with the given minimum and characteristic polynomials Give all the possible matrices that could have these in Jordan Normal Form (up to swapping the order of the blocks).

a. min(X)=x3 and χ(X)=x9.

b. min(X)=(x−1)(x−2)(x−3) and χ(X)=(x−1)3(x−2)2(x−3).

c. min(X)=x4−1 and χ(X)=x6−x4−x2+1 use complex numbers if necessary to factor

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