Lectures related to Cramer's Rule and Matrix Inverse

Covers exercises on matrices, vectors, and linear systems.

Covers linear algebra basics, including matrices, change of basis, and invertible matrices.

Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.

Explains linear independence, basis, and matrix rank with examples and exercises.

Introduces fundamental concepts in linear algebra, such as vector spaces and eigenvalues.

Explores determinants, similarity invariance, Cramer's formula, and geometric interpretations in matrices.