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Lecture
Determinants: Properties and Applications
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Linear Algebra: Multilinear Groin and Determinants
Explores multilinear groin and determinants, including the Sarrus rule and proof by induction.
Determinants: Theory and Applications
Covers the theory of determinants and their applications in linear algebra.
Linear Algebra in 3D: Determinants and Inverses
Explores determinants in 3D space and their role in linear algebra.
Determinants: Alternate Forms and Symmetrization
Explores alternate forms, symmetric forms, and determinants in linear algebra.
Cramer's Rule and Volume
Covers Cramer's Rule, matrix inverse, determinants, and volume in linear algebra.
Change of Basis, Passage Matrices
Explores change of basis and passage matrices in linear algebra, with a focus on properties and practical examples.
Spherical Coordinates: Determinant of Jacobi
Covers spherical coordinates and the determinant of Jacobi in linear algebra.
Linear Algebra Basics
Covers fundamental concepts in linear algebra, including linear equations, matrix operations, determinants, and vector spaces.
Characteristic Polynomials and Similar Matrices
Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.
Linear Algebra in 3D: Matrices and Determinants
Covers linear algebra in three dimensions, focusing on matrices and determinants.