Linear Algebra in R³: Vector Spaces

Related lectures (21)

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Covers linear independence, bases, and coordinate systems with examples and theorems.

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

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

Explains linear independence, bases, and dimension in vector spaces, including the importance of the order of vectors in a basis.

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

Explores vector spaces, subspaces, bases, and linear combinations in R² and R³, including free and linked families.

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

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

Covers vector spaces, subspaces, kernel, image, linear independence, and bases in linear algebra.

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