Question: Let A = 0 0 -1 0 1 4 0 0 -1 0 1 0 0 0 0 - -1 a) Show that de,

Let A = 0 0 -1 0 1 4 0 0 -1

Let A = 0 0 -1 0 1 4 0 0 -1 0 1 0 0 0 0 - -1 a) Show that de, (x) = x - 4 and de (x) = (x + 1). b) Find a vector u with du(x) = (x 4) (x + 1). c) Show that m(x) = (x 4)(x + 1). - d) Find RCF(A) and an invertible matrix P such that RCF(A) = P-AP.

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