Author: Joseph W Barnett

Learn coordinate vectors, transition matrices, and inverse transition matrices in this complete guide to change of basis in linear algebra.

Begin understanding basis and dimension in vector spaces with step-by-step examples involving vectors, matrices, and polynomials.

Learn the concept of span in this beginner friendly guide to span and spanning sets with examples for vectors, matrices, and polynomials.

Linear dependence vs independence explained for beginners with definitions, and step-by-step examples for vectors, matrices, and polynomials.

Gain a solid foundation in linear algebra with this guide to understanding vector spaces and subspaces featuring definitions, properties, and examples.

Learn common examples of linear transformations in linear algebra including reflections, rotations, dilations, projections, and composition.

Learn vector addition, vector subtraction, scalar multiplication, dot product, cross product, and projection in this vector operations tutorial for beginners.

Learn how to find the inverse of a matrix step by step using formulas, row operations, and determinants with examples.

Learn matrix addition, subtraction, multiplication, scalar multiplication, transpose, and trace in this step-by-step guide to basic matrix operations.