Lectures related to Linear Algebra Basics

Explores changing bases in vector spaces using matrices and the significance of preserving structure within vector spaces.

Introduces orthogonal families, orthonormal bases, and projections in linear algebra.

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

Covers the determination of matrices associated with linear transformations and explores the kernel and image concepts.

Covers the concept of basis, linear transformations, matrices, inverses, determinants, and bijective transformations.

Covers linear independence, bases, and coordinate systems with examples and theorems.

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