Linear Algebra Basics

Related lectures (25)

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Explores matrix operations, rank determination, kernel dimensions, and basis concepts in linear algebra.

Covers linear maps, matrices, and applications, including exercises on bases and invertibility.

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

Covers bijective linear maps, invertibility of matrices, isomorphisms, and the rank theorem.

Explores linear applications in R² and matrix representation, including basis, operations, and geometric interpretation of transformations.

Covers the concepts of kernel and image of a linear transformation and their relationship with the rank of the matrix.

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

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

Covers linear applications, matrices, and vector spaces, emphasizing the concept of linear independence.

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