Change of Basis: Matrices and Transformations

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.

Explores polynomial operations, properties, and subspaces in vector 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 abstract concepts in linear algebra, focusing on operations with vectors and matrices.

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

Explores vector subspaces in R4, symmetric matrices, basis vectors, and canonical forms.

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

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