Linear Algebra - Purpose to Application
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, U + V + X + Y + Z = 4 -U + V - X + Y + Z = 0 U - V - X + Y + Z = 0 -U - V - X + Y + Z = -2 U - V + X - Y + Z = 0 ............... (b) solve the equation (b). Answer is U = V =