Linear Algebra: Rank Theorem

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 the determination of matrices associated with linear transformations and explores the kernel and image concepts.

Explores injective and surjective linear transformations, kernel, image, and matrix operations.

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

Explores multilinear groin and determinants, including the Sarrus rule and proof by induction.

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

Covers the basics of linear algebra, including linear maps, bases, and matrix operations.

Covers linear systems, vector subspaces, and the kernel and image of linear applications.

Explores forming bases, dependencies, and relationships in linear applications using invertible matrices and canonical bases.