Lectures related to Change of Basis: Transition Matrices

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

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

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

Covers linear transformations, change of bases, and diagonalization of matrices.

Explores eigenvalues and eigenvectors, demonstrating their importance in linear algebra and their application in solving systems of equations.