Answered: Let V be a finite-dimensional inner… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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LINEAR ALGEBRA III
Please help answer all questions below:
Let V be a finite-dimensional inner product space over C and let u, w€ V be fixed non-zero vectors
such that (u, w) 0. Let T: V→ V be the linear operator defined by T(v) = (v, u) w for all v € V.
Find a formula for T similar to the one given for T.
Show that T is self-adjoint if w = au where a € R.
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