Matrix Representations: Linear Maps

Related lectures (28)

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Explores linear applications, matrices properties, vector subspaces, and system resolution.

Explores vector space operations, linear transformations, matrix representation, and linear applications.

Explores vector spaces, subspaces, bases, and linear combinations in R² and R³, including free and linked families.

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

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

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

Explains the diagonalization of linear transformations using eigenvectors and eigenvalues to form a diagonal matrix.

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

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

Covers fundamental concepts in linear algebra, including linear equations, matrix operations, determinants, and vector spaces.