Lectures related to Vector Spaces in R2 and R3

Covers mathematical concepts related to vector operations and geometry, including scalar product and vector norms.

Covers orthogonality, scalar products, orthogonal bases, and vector projection in detail.

Covers matrix kernels, images, linear applications, independence, and bases in vector spaces.

Explains linear independence, bases, and dimension in vector spaces, including the importance of the order of vectors in a basis.

Covers affine subspaces, lines, planes, intersections, cross product, and distance calculations in vectorial geometry.

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

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

Covers matrix equations as linear combinations, vector spaces, and geometric interpretations.