Linear Transformations: Matrices and Bases

Related lectures (27)

Page 2 of 3

Covers the basics of linear algebra, including linear maps, bases, and matrix operations.

Covers the method to calculate the images of vectors in a given base.

Covers the concepts of kernel and image of a linear application in linear algebra.

Covers kernels and images of linear transformations between vector spaces, illustrating properties and providing proofs.

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

Covers isomorphism, dimension, bases, and rank in linear transformations between vector spaces.

Explores subspaces in linear algebra and transformations, including kernels and images of linear transformations.

Covers fundamental concepts in linear algebra, including linear equations, matrix operations, determinants, and vector spaces.

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

Delves into the Rank Theorem's implications for linear transformations and mappings.