Lectures related to Linear Transformation: Matrix Representation

Explores linear mapping, isomorphism, and change of bases in vector spaces.

Explores the concept of linear independence in vector spaces through definitions and illustrative examples.

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

Explores dimension theory of vector spaces, covering bases, linear applications, and ranks.

Explains kernel, image, and linear maps, illustrating concepts with examples.

Explains how to calculate the dimension of a kernel of a matrix transpose.

Explores Lorentz invariance, tensors in vector spaces, and electromagnetic potentials.