Vector Spaces in R2 and R3

Related lectures (25)

Page 2 of 3

Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.

Covers the method to calculate the images of vectors in a given base.

Explains orthogonal families, bases, and projections in vector spaces.

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

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

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

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

Explores equivalence in vector spaces, covering conditions for statements to be considered equivalent and properties of algebraic bases.

Covers linear algebra basics, including matrices, change of basis, and invertible matrices.

Explores geometric transformations in R2 and R3, including linear transformations, projections, matrices, and trace properties.