Learning

Abstract Vector Spaces and Linear Transformations

Fields and Vector Spaces → Change of Basis and Similarity

This path guides university students from the concrete geometry of R^n to the abstract theory of vector spaces, focusing on linear transformations and their matrix representations. It covers foundational concepts such as subspaces, basis, and dimension, then explores linear maps, kernels, images, and isomorphisms, culminating in the matrix representation theorem and change of basis.