Hi What topics in linear algebra do I need to know to start learning tensors? I know the following topics from linear algebra: 1-equation systems 2-vector spaces(linear independence, span, basis, important subspaces of a vector space) 3-linear transformations(kernel, Image, Isomorphic vector spaces) 4-Eigenvalues and Eigenvectors 5- Polynomials 6-determinants. What other tools from linear algebra do I need to know to understand tensors? Where should I begin from to understand tensors little by little? and my final goal is understand the applications of tensors in Physics and then in pure mathematics.