Lectures related to Woodbury matrix identity

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

Covers the concept of the matrix of cofactors and a formula to calculate the inverse of a matrix.

Explores canonical transformations, symplectic groups, real matrices, preserved quantities, and volumes in phase space.

Covers Cramer's Rule, matrix inverse, determinants, and volume in linear algebra.

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

Explores matrix determinant properties, inverse, transpose, and applications in solving equations.

Covers the method of inverting a matrix by diagonalization and calculating determinants.

Covers matrix calculus, focusing on matrices, determinants, and their properties.

Covers exercises on matrices, vectors, and linear systems.

Explores matrix inverses, their properties, calculations, and determinants of invertibility.

Explores interlacing family, matrix determinant lemma, and random matrix characteristics.

Explores symmetric formulas and properties of determinants, including invertibility and matrix calculations.

Explores properties of 3x3 matrices with real coefficients and determinant calculation methods.

Covers the properties and applications of matrix operations and their convergence in series.

Covers Cramer's Rule for solving linear equations and calculating matrix inverses.

Explores matrix inversion, determinants, and properties of matrices A and B.

Covers the properties and calculations of matrix determinants, including triangular matrices and elementary row operations.

Covers the convexity proof of the sum of the eigenvalues of the inverse matrix.

Covers the concept of basis, linear transformations, matrices, inverses, determinants, and bijective transformations.

Covers matrix calculus, including determinants, matrix inversion, and solutions to systems of linear equations.