Linear Algebra: Basis and Matrices

Related lectures (24)

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

Explains linear independence, basis, and matrix rank with examples and exercises.

Covers matrix kernels, images, linear applications, independence, and bases in vector spaces.

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

Covers the definitions and properties of matrices, including matrix operations and determinants.

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

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

Covers matrices, linear applications, vector spaces, and bijective functions.

Covers the basics of linear mapping and coordinate systems.

Explores linear algebra concepts through examples and theorems, focusing on matrices and their operations.