Lectures in course MATH-111(d): Linear Algebra

Introduces linear algebra basics, including linear independence, injectivity, surjectivity, and bases in vector spaces.

Singular Value Decomposition: Applications and Theorems

Explores the applications and theorems of Singular Value Decomposition in linear algebra, including image processing, matrix rotation, and transition probabilities.

Linear Algebra: Subspaces and Combinations

Explores subspaces and linear combinations in linear algebra.

Linear Algebra: Subspaces and Transformations

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

Linear Algebra: Theorems and Examples

Explores the demonstration of a fundamental linear algebra theorem and the concept of linear independence and bases.

Linear Algebra: The Rank Theorem

Covers exercises submission, a test announcement, and the Rank Theorem in linear algebra.