Linear Algebra in 3D: Determinants and Inverses

Related lectures (28)

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Introduces linear algebra concepts, focusing on solving systems of linear equations and their representations.

Covers Cramer's Rule for solving linear equations using determinants.

Covers tensor algebras, symmetric and exterior algebras, and tensor products of modules.

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

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

Covers matrices, linear applications, vector spaces, and bijective functions.

Covers linear applications, matrices, transformations, and the principle of superposition.

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

Explores multilinear groin and determinants, including the Sarrus rule and proof by induction.

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