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Linear Algebra - Purpose to Application

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Let's start with a problem,                                                                                                                  X + Y = 3                                                               X - Y = 1  ...............(a) what are the methods to solve the linear equation of two variables - 1. Elimination method 2. Substitution method 3. Cross multiplication method 4. Graphical method Using above methods it is easy to solve the equation (a) and the solution of the equation is X = 2,Y = 1. Now solve,         ...