Polynomials: Operations and Properties

Related lectures (27)

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

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

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

Covers the definition of vector spaces, subspaces, and linear combinations of vectors.

Covers the definitions and properties of vector spaces, including axioms and examples.

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

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

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

Covers scalar products, orthogonal vectors, norms, and projections in vector spaces, emphasizing orthonormal families of vectors.

Introduces orthogonal families, orthonormal bases, and projections in linear algebra.