Linear Algebra: Applications and Bases

Related lectures (25)

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Covers the basics of linear mapping and coordinate systems.

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

Explains linear independence, basis, and matrix rank with examples and exercises.

Covers linear systems, vector subspaces, and the kernel and image of linear applications.

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

Covers linear transformations using matrices, focusing on linearity, image, and kernel.

Explores forming bases, dependencies, and relationships in linear applications using invertible matrices and canonical bases.

Explores linear algebra concepts through examples and theorems, focusing on matrices and their operations.

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

Covers the concept of basis, linear transformations, matrices, inverses, determinants, and bijective transformations.