Linear Algebra Basics

Related lectures (29)

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Covers the definition of linear equations, systems, solutions, and representations in 2D and 3D.

Covers linear transformations using matrices, focusing on linearity, image, and kernel.

Covers matrix operations, coefficients, combinations, and applications in various scenarios.

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

Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.

Introduces fundamental concepts in linear algebra, such as vector spaces and eigenvalues.

Explores eigenvalues and eigenvectors, demonstrating their importance in linear algebra and their application in solving systems of equations.

Covers the definitions and properties of matrices, including matrix operations and determinants.

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

Covers linear algebra, focusing on systems of equations and their solutions.