Linear Algebra: Matrix Operations and Basis

Related lectures (24)

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

Covers the reduction of a linear application and finding corresponding reduced forms and bases.

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

Covers the basics of linear mapping and coordinate systems.

Explores linear combinations, basis determination, and vector space dimensionality through practical examples and exercises.

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

Explores the equivalence between different properties of linear transformations represented by matrices and various matrix operations.

Covers linear applications, matrices, transformations, and the principle of superposition.

Explores the concept of linear independence in vector spaces through definitions and illustrative examples.

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