Linear algebra with applications

by Bretscher, Otto

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Title Statements

Full title :Linear algebra with applications / Otto Bretscher.

Edition Statements

Publication Date:2014.
Edition:5th ed

Publication Statements

Publisher(s):Pearson Education Limited
Place of Publication:England
Language:eng
Publication Date:2014.

Notes

Includes indexes.

The Physical Object

Description:ii, 460 pages : : illustrations ; : 27 cm

Edition Identifiers

ISBN:9781292022147, 1292022140
oclc:ocn957274130
LC Classification:QA184.2
Dewey Decimal:512.5

1. Linear Equations 1.1 Introduction to Linear Systems 1.2 Matrices, Vectors, and Gauss-Jordan Elimination 1.3 On the Solutions of Linear Systems; Matrix Algebra 2. Linear Transformations 2.1 Introduction to Linear Transformations and Their Inverses 2.2 Linear Transformations in Geometry 2.3 Matrix Products 2.4 The Inverse of a Linear Transformation 3. Subspaces of Rn and Their Dimensions 3.1 Image and Kernel of a Linear Transformation 3.2 Subspace of Rn; Bases and Linear Independence 3.3 The Dimension of a Subspace of Rn 3.4 Coordinates 4. Linear Spaces 4.1 Introduction to Linear Spaces 4.2 Linear Transformations and Isomorphisms 4.3 The Matrix of a Linear Transformation 5. Orthogonality and Least Squares 5.1 Orthogonal Projections and Orthonormal Bases 5.2 Gram-Schmidt Process and QR Factorization 5.3 Orthogonal Transformations and Orthogonal Matrices 5.4 Least Squares and Data Fitting 5.5 Inner Product Spaces 6. Determinants 6.1 Introduction to Determinants 6.2 Properties of the Determinant 6.3 Geometrical Interpretations of the Determinant; Cramer's Rule 7. Eigenvalues and Eigenvectors 7.1 Diagonalization 7.2 Finding the Eigenvalues of a Matrix 7.3 Finding the Eigenvectors of …