Linear Algebra: Subspaces and Transformations

Related lectures (28)

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Covers matrix kernels, images, linear applications, independence, and bases in vector spaces.

Covers determining vector spaces, calculating kernels and images, defining bases, and discussing subspaces and vector spaces.

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

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

Covers the basics of linear mapping and coordinate systems.

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

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

Explores subspaces and linear combinations in linear algebra.

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

Explores linear combinations, basis determination, and vector space dimensionality through practical examples and exercises.