Abstract
In Chapter 8, we present several additional practical applications of linear algebra in mathematics and the sciences. These include an introduction to graph theory, applying Ohm’s and Kirchhoff’s laws in circuit theory, approximating data using the least-squares method, Markov chains, an introduction to coding theory via Hill substitutions, how the formulas for conic sections change under a rotation of axes, the use of matrices for transformations in computer graphics, solving certain linear differential equations, finding approximate solutions for inconsistent systems of linear equations using least-squares, and an introduction to quadratic forms.
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