Question: (4) Consider the matrix [2 4] (a) Show that the characteristic polynomial of A is p(1) = 12 - 51 + 6. IANTI-O (b) Show

(4) Consider the matrix [2 4] (a) Show that the characteristic polynomial of A is p(1) = 12 - 51 + 6. IANTI-O (b) Show that A satisfies its characteristic equation, i.e., A2 -5A+612 = 02. (This is known as the Cayley-Hamilton Theorem and is true for general n x n matrices.)

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