Lectures related to Change of Basis: Motivation

Explores changing bases in linear algebra in 3 dimensions, focusing on matrix transformations and vector representations.

Covers the basics of linear algebra, including linear maps, bases, and matrix operations.

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

Explores base changes, bijective linear applications, matrix transformations, and dimensions of kernel and image spaces.

Covers the composition and product of matrices, including matrix multiplication.

Explores the properties of invertible matrices, including unique solutions and linear independence.

Explores the relationship between matrices under different bases in linear algebra.