Octave and Matlab comparison in terms of basic mathematics

How is mankind grow older, its knowledge about nature, which in it lives, is getting deeper. Unfortunately human brain in itself became short for solving modern problems and we have to help ourselves with computers and modern computerised methods. But computers themselves can not solve the problems. We need to equip them with adequate software. Goal of this work is to compare Octave and Matlab systems in part of compatibility and in the solvings of practical problems