Suppose T 2 L.C3/ is such that 6 and 7 are eigenvalues of T. Furthermore,suppose T does
Chapter 5, Problem 15(choose chapter or problem)
Suppose T 2 L.C3/ is such that 6 and 7 are eigenvalues of T. Furthermore,suppose T does not have a diagonal matrix with respectto any basis of C3. Prove that there exists .x; y; z/ 2 F3 such thatT .x; y; z/ D .17 C 8x; p5 C 8y; 2 C 8z/.
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