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About Tutorial 10: SC-116 Algebraic Structures Autumn 2015 (Inner Products)
This document contains 6 problems related to inner products on vector spaces. It asks the reader to: 1) Show that a defined operation is an inner product on a space of continuous functions from R to C. 2) Show that a defined operation is an inner product on the space of n x n complex matrices. 3) Prove the Cauchy-Schwarz inequality for an inner product space. 4) Show that a norm defined using an inner product defines a norm on the vector space. 5) Prove the parallelogram law is satisfied by a norm defined using an inner product. 6) Derive the polarization identity for a complex vector space with an inner product.
Detailed Information
| Author: | ['pankaj'] |
|---|---|
| Publication Year: | 2015 |
| Pages: | 1 |
| Language: | English |
| Format: | |
| Price: | FREE |
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