Lectures related to Square Matrices: Invertible, Triangular, Diagonal

Covers the definition and properties of determinants, including the rule of Sarrus for 3x3 matrices.

Covers matrix product, inverses, and properties of invertible matrices.

Explores matrices, eigenvalues, and diagonalizability, including invertibility and vector spaces.

Explains the diagonalization of matrices, criteria, and significance of distinct eigenvalues.

Examines conditions for the existence of invertible matrices satisfying specific matrix equations involving eigenvalues.

Introduces symmetric and anti-symmetric matrices, matrix powers, inverses, elementary matrices, and matrix manipulation.