Linear Algebra: Bases and Dimension

Related lectures (25)

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

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

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

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

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

Introduces abstract concepts in linear algebra, focusing on operations with vectors and matrices.

Covers vector spaces, operations, and linear independence with examples from polynomials and functions.

Introduces linear combinations in vector spaces, operations, and polynomials of degree 2.

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

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