Linear Algebra: Free Generating Families

Related lectures (26)

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

Explores vector spaces, focusing on properties, examples, and subspaces within a practical exercise on polynomials.

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

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

Explores the definition and properties of vector subspaces in linear algebra.

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

Covers linear equations, vectors, and matrices, exploring their fundamental concepts and applications.

Covers matrix equations as linear combinations, vector spaces, and geometric interpretations.

Introduces linear combinations of vectors in R^n and their properties.

Explores vector space operations, linear transformations, matrix representation, and linear applications.