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Introduction to Linear Algebra by Gilbert Strang is a mathematics available to read on EtoBox.

What is Introduction to Linear Algebra about?

Table of Contents Preface 1: Introduction to Vectors 1.1 Vectors and Linear Combinations Review of the key ideas Problem Set 1.1 1.2 Lengths and Dot Products 1.3 Matrices 2: Solving Linear Equations 2.1 Vectors and Linear Equations 2.2 The Idea of Elimination 2.3 Elimination Using Matrices 2.4 Rules for Matrix Operations 2.5 Inverse Matrices 2.6 Elimination = Factorization: A=LU 2.7 Transposes and Permutations 3: Vector Spaces and Subspaces 3.1 Spaces of Vectors 3.2 The Nullspace of A: Solving Ax = 0 3.3 The Rank and the Row Reduced Form 3.4 The Complete Solution to Ax = b 3.5 Independence, Basis and Dimension 3.6 Dimensions of the Four Subspaces 4: Orthogonality 4.1 Orthogonality of the Four Subspaces 4.2 Projections 4.3 Least Squares Approximations 4.4 Orthogonal Bases and Gram-Schmidt 5: Determinants 5.1 The Properties of Determinants 5.2 Permutations and Cofactors 5.3 Cramer's Rule, Inverses, and Volumes 6: Eigenvalues and Eigenvectors 6.1 Introduction to Eigenvalues 6.2 Diagonalizing a Matrix 6.3 Applications to Differential Equations 6.4 Symmetric Matrices 6.5 Positive Definite Matrices 6.6 Similar Matrices 6.7 Singular Value Decomposition (SVD) 7: Linear Transformations 7.1

Who reads Introduction to Linear Algebra?

Author

Gilbert Strang

Language

EN

Category

mathematics

Subjects

Mathematics, Stem

Rating

4.16 / 5 (197 ratings)

Updated

2026-03-14