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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![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5aef7602-f53b-4e3d-bcd5-00197f5d90cb%2F94080203-2c05-4a2e-b6b8-d414a177e92a%2Fn42rrn_processed.png&w=3840&q=75)
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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