XYZW Project

Linear Algebra

Vectors, Matrices and Linear Maps

From vector spaces through matrices to linear maps. Every idea gets its geometric picture before its algebraic definition.

In progress3 chapters

Contents

  1. PrefacePreface
  2. Chapter 1Vectors

    Starting from arrows in the plane, define vector spaces, linear combinations, length and the inner product.

  3. Chapter 2Matrices

    A matrix is bookkeeping for linear combinations. This chapter defines matrix multiplication and proves associativity.