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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