Lectures related to Linear Systems: Fundamentals and Applications

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

Covers matrix operations, scalar product, orthogonality, and bases in vector spaces.

Covers the main theorem of linear algebra and the conditions for injectivity.

Covers the diagonalization of matrices using eigenvectors and eigenvalues.

Explores matrix operations, coefficients, multiplication properties, and the power of matrices.