Lectures related to Pythagoreanism

Covers orthogonal vectors, unit vectors, and the Pythagorean theorem in R^m.

Explores orthogonality, vector norms, and subspaces in Euclidean space, including determining orthogonal complements and properties of subspaces and matrices.

Orthogonal Bases in Vector Spaces

Covers the concept of orthogonal bases in vector spaces and Pythagorean theorem applications.

Orthogonality and Inequalities

Explores symmetrical bilinear forms, the Pythagorean theorem, inequalities, and orthogonal matrices.

Orthogonality and Least Squares Method

Introduces orthogonal vectors, scalar product, Euclidean norm, Pythagorean theorem, and unit vectors.

Norms and Orthogonality

Explores norms, orthogonality, and the Pythagorean theorem in vector spaces.

Orthogonal Families and Linear Combinations

Explores orthogonal families, vector orthogonality, and linear combinations in vector spaces.