Question: (a) (5 points) For what value of n does there exist an isomorphism T:M3(R) P.(R)? a b For this value of n, write down an

(a) (5 points) For what value of n does there

(a) (5 points) For what value of n does there exist an isomorphism T:M3(R) P.(R)? a b For this value of n, write down an explicit isomorphism by defining T d e f 8 h i (b) (5 points) Suppose that a square matrix A satisfies the equation ( A- 3A +91, = 0, Suppose that 2 is an eigenvalue of A. Show that 22 - 32 +9=0

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