May 2024
Intermediate to advanced
687 pages
18h 35m
English
Content preview from Discrete Mathematical Structures by Pearson
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12-1
LEARNING OBJECTIVES
After reading this chapter, you will be conversant with:
♦ Introduction
♦
Definition
♦ Vector Subspace
♦ Calculus of Subspaces
♦ Linear Dependence and Indepence of Vectors
♦ Dimension and Basis
♦ Linear Transformation
♦ Normed and Inner Product Spaces
12.1 INTRODUCTION
Algebraic structures such as semigroups, monoids, rings, and fields provide a powerful tool in
the theory as well as applications to computer science. Another algebraic structure essentially
required for thorough understanding of graph theory-related problems and their solutions is the
concept of Vector spaces.
12.2 DEFINITION
A vector space consists of the following: ...
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