Linear algebra is a branch of mathematics that deals with solving linear equations and analyzing the properties of linear functions. It began with solving simple equations like ax + b = 0. While a single linear equation is straightforward, the method for solving it and the properties of the linear function y=ax+b form the basic concepts and approaches used throughout linear algebra.

1. what is linear algebra
Solution
Linear Algebra is a branch of mathematics as old as mathematics itself. The solving of the
simple linear equation ax + b = 0 may be considered as the original problem of this subject.
Although this problem presents absolutely no difficulty at all, the method which solves it (i.e. if a
‚ 0, then the unique solution is given by x = (-b)/a, no solution if a=0 and b ‚ 0 and infinitely
many solutions if both a and b are zero), together with the properties of the corresponding linear
function y=ax+b, are fundamental models for the ideas and methods of all of linear algebra.