# Linear Algebra for Everyone

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*Gilbert Strang*

A publication of Wellesley-Cambridge Press

This book by Gilbert Strang, author of the widely-used Introduction to Linear
Algebra, presents a “new start” in teaching and learning
linear algebra, a subject that is increasingly important in all
quantitative disciplines. Working with small matrices of integers,
students can see dependent columns and the rank of \(A\) and its column
space. This is a big step toward the four fundamental subspaces
— a widespread success in teaching linear algebra. The new
start makes linear algebra more approachable to students with a wide
range of backgrounds.

The next step is the column-row factorization \(A = CR\) with
independent columns in \(C\). Combinations of those columns produce all
columns in \(A\) — this is matrix multiplication by
\(R\). The text
goes on to solve \(Ax = b\), to orthogonal bases, to subspaces and linear
transformations, always based on examples. The final steps are
eigenvalues and singular values, with a dedicated code to compress
images. The last chapter is entirely optional: linear algebra in deep
learning and AI. The text features many illustrative examples and
exercises, and video lectures to accompany the book are available via
MIT OpenCourseWare. The author's site,
contains additional sample material and an instructor's manual.

A publication of Wellesley-Cambridge Press. Distributed within the Americas by the American Mathematical Society.

#### Readership

Undergraduate students interested in learning linear algebra and instructors teaching linear algebra.