Linear Transformations: Injective and Surjective

Related lectures (28)

Page 3 of 3

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

Covers the concept of basis, linear transformations, matrices, inverses, determinants, and bijective transformations.

Explores subspaces, matrix equations, linear transformations, and their matrix representations in linear algebra.

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

Covers matrix multiplication, properties, and inverses in linear algebra.

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

Explores eigenvalues and eigenvectors, demonstrating their importance in linear algebra and their application in solving systems of equations.

Explores properties of 3x3 matrices with real coefficients and determinant calculation methods.