2. Let T: F→ F3 be the operator given by 433 4 3 1 4 1 3 Determine µT(x) and find a maximal vector for T. I T(v) = v. I
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2. Let T: F→ F3 be the operator given by 433 4 3 1 4 1 3 Determine µT(x) and find a maximal vector for T. I T(v) = v. I
2. Let T: F→ F3 be the operator given by 433 4 3 1 4 1 3 Determine µT(x) and find a maximal vector for T. I T(v) = v.
I'm struggling with the full process of how to get to the answer. The book has the answer to this as: µT(x)= x²+2x+2 = x²−3x−3 = (x − 1)(x − 2). Each of e1,e2,e3 is a maximal vector.