MATH-111(f): Linear Algebra

Lectures in this course (62)

Explores compatibility in linear systems and the importance of triangular systems for easy solving.

Introduces linear equations and explores solutions through different methods.

Covers the study of solutions of linear systems through elementary operations.

Covers the concept of equivalence of linear systems and matrix operations.

Explores linear combinations of vectors in space, generation of planes, and properties of vector spaces.

Explores vector equations, linear systems, and combinations in the context of linear algebra.

Explores homogeneous and non-homogeneous systems of linear equations, focusing on solution structures.

Explores matrix equations, linear combinations, solutions, and matrix-vector products, with demonstrations and examples.

Introduces the concept of a basis of R^m and discusses homogeneous systems and vector spaces.

Explores linear independence in homogeneous systems of linear equations and vector families.

Explores linear applications, matrices, injectivity, surjectivity, and compositions of linear maps with examples and demonstrations.

Covers linear applications, including definitions, properties, and examples.

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