Question: Let A = [1 0 1 101 000 0 1 1 0 1 Show that A is nilpoltent, and then find the block matrix

Let A = [1 0 1 101 000 0 1 1 0

Let A = [1 0 1 101 000 0 1 1 0 1 Show that A is nilpoltent, and then find the block matrix which is similar to A. 2- Suppose that the characteristic and minimal polynomials of a matrix A are respectively BA(x)=(x-2) (x-3) and m(x) = (x - 2) (x-3) Find all possible Jordan canonical form of A. 3-Suppose V is a vector space with dimV = 7 and let T:V V be a linear transformation with minimal polynomial mp = (x2 +2)(x+3)3 Find all possible rational form of T.

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