Dimension Calculation in Linear Algebra

Related lectures (28)

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Explores linear transformations in 3D space using matrices and their applications.

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

Covers the concepts of kernel and image of a linear application in linear algebra.

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

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

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

Explores the associated matrix of a linear map, basis formation, and space relationships.

Revisits bases of the image and kernel in linear algebra, focusing on linear transformations between finite-dimensional vector spaces.

Explores matrix representations of linear applications, including change of basis and invariants.

Covers matrix transposition, rank, and basis change in linear algebra, exploring invertibility criteria and basis relationships.