Determinants: Theory and Applications

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Explores alternate forms, symmetric forms, and determinants in linear algebra.

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

Explores the properties and applications of determinants in linear algebra.

Explores multilinear forms in linear algebra, emphasizing their role in vector space transformations.

Explores determinants in 3D space and their role in linear algebra.

Explores multilinear forms in linear algebra, emphasizing their properties and applications.

Covers linear algebra in three dimensions, focusing on matrices and determinants.

Explores solving systems of equations using matrices and determinants.

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

Explores multilinear forms in linear algebra, emphasizing their properties and applications.