What is Linear Algebra about?
Linear Algebra is a branch of mathematics which emerged years back and was one of the pioneer branches of mathematics Though, initially, it started with solving of the simple linear equation ax + b = 0, but later on it diversified due its vivid application in various fields The basic idea behind finding the solution of a system of linear equations is by elimination of variables.
The main reason behind the popularity of algebraic mathematics is following generic solution which most of the problems follow. E.g. start from a problem in geometry, translate the problem in the language of algebra, solve the resulting algebra problem using the algebraic tools and finally transport the solution back to geometry.
Matrix, a set of numbers arranged in rows and columns so as to form a rectangular array. The numbers are called the elements, or entries, of the matrix. Matrices have wide applications in engineering, physics, economics, and statistics as well as in various branches of mathematics. Historically, it was not the matrix but a certain number associated with a square array of numbers called the determinant that was first recognized. Only gradually did the idea of the matrix as an algebraic entity emerge. That such an arrangement could be taken as an autonomous mathematical object, subject to special rules that allow for manipulation like ordinary numbers, was first conceived in the 1850s by Cayley and his good friend the attorney and mathematician James Joseph Sylvester.
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