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Related lectures (31)
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Linear Algebra in 3D: Matrices and Determinants
Covers linear algebra in three dimensions, focusing on matrices and determinants.
Determinants: Alternate Forms and Symmetrization
Explores alternate forms, symmetric forms, and determinants in linear algebra.
Determinants: Expansion Theorems and Cramer's Formula
Covers the expansion theorems for determinants and introduces Cramer's formula.
Vectors: Coordinate Calculations
Covers calculations in coordinates for vectors, including bases, scalar product, and determinants, with geometric interpretations and examples.
Linear Algebra: Multilinear Groin and Determinants
Explores multilinear groin and determinants, including the Sarrus rule and proof by induction.
Coxeter Groups: Spectral Theorem and Sylvester's Criterion
Explores the spectral theorem, Coxeter graphs, eigenvalues, and determinants of positive definite matrices.
Interlacing Family and Matrix Determinant Lemma
Explores interlacing family, matrix determinant lemma, and random matrix characteristics.
Linear Algebra: Matrices and Operations
Covers the basics of linear algebra, focusing on matrices and operations.
Orthogonal Matrices and Triangular Matrices
Explores properties of orthogonal and triangular matrices with linearly independent columns and their mathematical operations.
Linear Transformation Properties
Explores the properties of linear transformations through step-by-step calculations and matrix manipulations.