Lectures related to Woodbury matrix identity

Covers the concepts of trace and determinant of a 3x3 matrix.

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

Covers the properties and calculations of the determinant of a matrix.

Explores matrix multiplication, inverses, transposition, and determinants in linear algebra.

Explores matrix inversion, conditions for invertibility, uniqueness of the inverse, and elementary matrices for inversion.

Explores pseudo randomness in graphs using eigenvalues and polynomials, emphasizing the significance of bunched roots and common interlacers.

Explains how the inverse of a matrix shares its eigenvalue and how the transposed version has the same set of eigenvalues.

Introduces key concepts in linear algebra, including matrices, operations, and numerical invariants.