Linear Algebra Basics

Related lectures (24)

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Explores matrix operations, rank determination, kernel dimensions, and basis concepts in linear algebra.

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

Explores optimization methods, including unconstrained problems, linear programming, and heuristic approaches.

Covers the basics of linear mapping and coordinate systems.

Explores change of basis matrices in linear algebra, emphasizing the importance of understanding matrix transformations between different bases.

Explores changing bases in vector spaces and matrix representation of linear transformations.

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

Covers tensor products, symmetric power, and exterior power of vector spaces, including properties and applications.

Explores directional derivatives in linear optimization and their impact on objective functions.

Covers the truncated conjugate gradients algorithm for solving positive definite linear maps iteratively.