Lectures related to Linear Transformations: Kernel and Image

Explores changing bases in vector spaces and the matrix representation of this change.

Introduces the concept of basis and canonical basis in linear algebra, essential for vector space representation.

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

Explores visualizing the Fourth Dimension and introduces vector spaces, linear applications, and transformations.

Explores Lorentz transformations, covariant tensors, rotational invariance, and linear transformations in vector spaces.

Explores matrix multiplication, inverses, transposition, and determinants in linear algebra.