Linear subspace

Related lectures (23)

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Explores orthogonality between vectors and subspaces, demonstrating practical implications in matrix operations.

Covers tangent spaces and submersions in differential geometry, emphasizing vector spaces and differentiable structures.

Covers orthogonality, scalar products, orthogonal bases, and vector projection in detail.

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

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

Introduces linear combinations of vectors in R^n and their properties.

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

Explores linear dependence and independence of vectors, including subspaces generation and corollaries.

Covers linear transformations between polynomial spaces and explores examples of linear independence and bases.

Covers linear equations, vectors, and matrices, exploring their fundamental concepts and applications.