Lectures related to Vectors: Coordinate Calculations

Covers the decomposition of a vector in a base and its applications in speed and distance calculations.

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

Covers linear applications, diagonalizable matrices, eigenvectors, and orthogonal subspaces in R^n.

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

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

Covers linear independence, bases, and coordinate systems with examples and theorems.

Explores linear applications in R² and matrix representation, including basis, operations, and geometric interpretation of transformations.

Covers advanced physics topics such as definitions, rectilinear motion, vectors, and motion in three dimensions.

Covers the properties of vectors, including commutativity, distributivity, and linearity.