Linear Combinations and Vector Spaces

Related lectures (29)

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Covers the definition and examples of vector spaces, including subspaces and linear transformations.

Covers the definition and properties of vector spaces, along with examples like Euclidean spaces and matrix spaces.

Explores linear independence, bases, and dimension in vector spaces with examples involving matrices and polynomials.

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

Introduces the concept of vector spaces and covers properties of vectorial subspaces.

Explores the process of division euclidienne in polynomials, emphasizing the importance of polynomial degrees during operations.

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

Introduces vector spaces with binary addition and scalar multiplication, exploring geometric examples in R2.

Explores changing bases in vector spaces using matrices and the significance of preserving structure within vector spaces.

Explores polynomials, their operations, and the concept of ideals in polynomial rings.