Linear algebra is a branch of mathematics that studies linear equations, matrices, and vector spaces.
The main objects of study are linear transformations, which are functions that preserve the properties of addition and scalar multiplication. These Transformations can be represented by Matrices.
The math technology provided by Linear Algebra is of interest to Tensor Calculus because we can use a 3×3 matrix to make changes to a 3D vector. These changes are often called Transformations.
The importance of Matrices (one of the topics of Linear Algebra) shows up in Group Theory.
Some early technologies presented in Tensor Calculus are analogous to Matrix Multiplication. You can see aspects of Tensor Calculus as being similar to work you’ve done previously. Your ability to “see” what is happening in Tensor Calculus may improve after we show you a pair of 2×2 matrices and then point out there are at least three different calculations that we can do. This should drive home the idea that there is more there than just the numbers.
Vectoreverything 