3. Let V be a complex inner product space and T: V→ V a linear transformation. Suppose that T satisfies the following property Vu € V, (T(u), u) = 0 Show that T = 0.
3. Let V be a complex inner product space and T: V→ V a linear transformation. Suppose that T satisfies the following property Vu € V, (T(u), u) = 0 Show that T = 0.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:3. Let V be a complex inner product space and T: V → V a linear transformation. Suppose that T satisfies
the following property
(T(u), u) = 0
Show that T = 0.
Vu € V₂
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