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Related lectures (23)

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Explores polynomial operations, properties, and subspaces in vector spaces.

Covers the basics of linear algebra, emphasizing the identification of subspaces through key properties.

Covers the properties and operations of vector spaces, including addition and scalar multiplication.

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

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

Explores vector spaces in three dimensions, covering linear combinations, subspaces, and properties of families of vectors in R³.

Covers the properties and criteria of linear dependence and independence in a vector space.

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

Explores vector spaces, linear independence, and spanning sets in linear algebra.

Covers the concept of 3D vector space, scalar product, bases, orthogonality, and projections.