Lectures related to Matrix Operations and Orthogonality

Introduces the first step in finding an orthogonal/orthonormal base in a vector space.

Covers orthogonal projection, spectral decomposition, Gram-Schmidt process, and matrix factorization.

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

Introduces orthogonal sets and bases, discussing their properties and linear independence.

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

Explores orthogonal projection calculation and orthonormal bases uniqueness through matrix operations.