Coordinates with respect to a base

Related lectures (24)

Page 2 of 3

Covers elementary matrix operations and vector spaces, including properties and conditions for invertibility.

Introduces orthogonal families, orthonormal bases, and projections in linear algebra.

Introduces abstract concepts in linear algebra, focusing on operations with vectors and matrices.

Covers strategies for matrix operations and the concept of vector spaces.

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

Explores curves in the oriented plane, discussing orientation, vector spaces, equivalence relations, and curvature of regular curves.

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

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

Covers the concept of interesting subspaces related to matrices and the change of basis matrix.

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