... Algebra INTRODUCTION Linear Algebra is a mathematical discipline related to linear equations, linear transformations, vectors and vector spaces, and matrices. Unlike other areas of mathematics, which are frequented by new and unsolved problems, Linear Algebra has firm sets of rules which are well defined and understood. Its significance is most appreciated by observing its applications in mathematical physics, modern algebra and coding theory.
Systems of linear equations are common in physics, chemistry and mathematics. The two examples below give a sense of how they are used. The first example is from Physics. Suppose that we are given three objects, one with a known mass of 2 kg, a...