Lectures related to Linear Algebra in 3 Dimensions: Change of Bases

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

Explores the concept of linear independence in vector spaces through definitions and illustrative examples.

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

Explores eigenvalues and eigenvectors in 3D linear algebra, covering characteristic polynomials, stability under transformations, and real roots.

Explores bases, dimensions, and matrix ranks in vector spaces with practical examples and proofs.