Lectures related to Binet-Cauchy Theorem

Covers the basic operations on matrices, including addition, scalar multiplication, and matrix multiplication.

Covers the diagonalization of linear transformations in R^3, exploring properties and examples.

Covers linear systems, diagonal and triangular matrices, and LU factorization.

Covers the basics of matrix multiplication, including properties and examples.

Explores properties and calculation tricks of determinants, including fixing rows/columns, expanding, and examples of determinant calculations.

Covers matrix operations, including multiplication, transposition, powers, and inverses, and explains how to determine if a matrix is invertible.

Covers the concept of block decomposition in linear algebra, illustrating how matrices can be divided and manipulated using block structures.