eBook Linear Algebra, 2nd Edition
2nd Edition
9814923087
·
9789814923088
© 2016 | Published: August 13, 2020
This publication is used as the course lecture notes for the undergraduate module Linear Algebra, offered by the Department of Mathematics at the National University of Singapore. This module is the first course on linear algebra and it serves as an …
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Chapter 1 Linear Systems and Gaussian Elimination
Chapter 2 Matrices
Chapter 3 Vector Spaces
Chapter 4 Vector Spaces Associated with Matrices
Chapter 5 Orthogonality
Chapter 6 Diagonalization
Chapter 7 Linear Transformations
Index
Chapter 2 Matrices
Chapter 3 Vector Spaces
Chapter 4 Vector Spaces Associated with Matrices
Chapter 5 Orthogonality
Chapter 6 Diagonalization
Chapter 7 Linear Transformations
Index
This publication is used as the course lecture notes for the undergraduate module Linear Algebra, offered by the Department of Mathematics at the National University of Singapore. This module is the first course on linear algebra and it serves as an introductionto the basic concepts of linear algebra that are routinely applied in diverse fields such as science, engineering, statistics, economics and computing. Mindful that majority of the students taking this module are new to the subject, we have chosen to introduce the conceptsof linear algebra in the context of Euclidean spaces rather than to jump straight into abstract vector spaces, which will be covered in the second course. The set up in Euclidean spaces also facilitates the connections between the algebraic and geometric viewpoints of linearalgebra.