Linear Algebra in physics

Paper should be between 1500-2000 words, 12pt font place links to all graphics and images at the end of document. refer as figure 1, etc. 

Report: Write about the Linear algebra in physics and the role algebra has in the real world. The focus of this paper is linear algebra as its for a linear algebra class. some of the topics I'd like to see discussed [if possible] are:

1) Vectors

2) Matrices 

3) Eigenvectors

4) Eigenvalues