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This result is known as Bessel's inequality. Problem 5. Let V be a finite-dimensional inner product space. For linear transforma- tions S, T : V → V show that S = T if and only if (Sx;, x;) = (Tx; , x;) for some basis {*1,..., an} for V.

This result is known as Bessel's inequality. Problem 5. Let V be a finite-dimensional inner product space. For linear transforma- tions S, T : V → V show that S = T if and only if (Sx;, x;) = (Tx; , x;) for some basis {*1,..., an} for V.

Advanced Engineering Mathematics
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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Plz solve 5

This result is known as Bessel's inequality. Problem 5. Let V be a finite-dimensional inner product space. For linear transforma- tions S,T : V –→ V show that S = T if and only if (Sr;, x;) = (Tri, x;) for some basis {r1,..., n} for V.
Transcribed Image Text:This result is known as Bessel's inequality. Problem 5. Let V be a finite-dimensional inner product space. For linear transforma- tions S,T : V –→ V show that S = T if and only if (Sr;, x;) = (Tri, x;) for some basis {r1,..., n} for V.
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