Lectures related to Matlab Programming Basics

Covers vector spaces, bases, and decomposition of vectors in R³.

Covers calculations in coordinates for vectors, including bases, scalar product, and determinants, with geometric interpretations and examples.

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

Explores eigenvalues and eigenvectors in 3D linear algebra, covering characteristic polynomials, stability under transformations, and real roots.

Introduces eigenspaces in linear algebra through definitions and practical examples of determining eigenspaces for matrices.

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

Covers element-wise operations in MATLAB and Octave using matrices and vectors.