Lectures related to Coulomb's Law: Charges and Forces

Covers bases, linear dependencies, injective and surjective transformations, and matrix representation in linear algebra.

Explores matrix determinants, linear independence, and bases in vector spaces.

Explores finding particular solutions for homogeneous differential equations, emphasizing linear independence and variation of constants.

Explores linear combinations of vectors and matrices in Rn, demonstrating geometric interpretations and matrix operations.

Covers equations and parametrizations of planes, and the formula for rotations.

Covers linear independence, bases of vectors, and solving systems using matrices.

Covers the definition and use of coordinate systems and applications in bases and linear equations.