Lectures related to Fundamental Properties of Determinant

Covers matrices, linear applications, vector spaces, and bijective functions.

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

Covers fundamental concepts in linear algebra, including linear equations, matrix operations, determinants, and vector spaces.

Explores efficient determinant calculations using triangular matrices and specific row/column selections for simplification.

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

Covers the decomposition of matrices into triangular blocks and spectral decomposition.

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

Covers direct methods for solving linear systems in numerical analysis.