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14. (a) Suppose T is a normal operator on V and that 3 and 4 are eigenvalues of T. Prove that there exists a vector v su
Posted: Mon May 09, 2022 11:32 am
by answerhappygod
- 14 A Suppose T Is A Normal Operator On V And That 3 And 4 Are Eigenvalues Of T Prove That There Exists A Vector V Su 1 (21.74 KiB) Viewed 22 times
14. (a) Suppose T is a normal operator on V and that 3 and 4 are eigenvalues of T. Prove that there exists a vector v such that ||0|| = V2 and ||Tv|| = 5. (b) Suppose T is a normal operator on V. Suppose also that v, w E V satisfy the equations || 0 || = ||w|| = 2, Tv=3v, Tw = 4w. Show that ||T(v + w) || = 10. = =