Introduction to Linear Algebra, Sixth Edition by Gilbert Strang is a comprehensive mathematics textbook covering the fundamental concepts and applications of linear algebra.
The book introduces important topics including linear equations, matrices, vector spaces, fundamental subspaces, least squares, eigenvalues, eigenvectors, singular value decomposition, optimization, and applications to learning from data. The sixth edition introduces independent columns, rank, and column space early in the text and presents key ideas through matrix factorizations.
Written by MIT mathematician Gilbert Strang, the book is intended for students and readers studying linear algebra in mathematics, engineering, computer science, economics, data science, and other quantitative fields.
Key Topics
- Linear equations
- Matrices
- Vectors and vector spaces
- Linear transformations
- Fundamental subspaces
- Rank and column space
- Least squares
- Eigenvalues and eigenvectors
- Singular Value Decomposition (SVD)
- Matrix factorization
- Optimization
- Linear algebra for data science
- Applications of linear algebra
- Mathematical foundations
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