ORL Lab 1 Solved

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Class 1

  1. Write a program for Gauss Seidel algorithm.
  2. Use this algorithm as a function and solve 𝑚 simultaneous equations with 𝑛 unknowns (𝑚 < 𝑛) to obtain basic solutions.
  3. Check your program for the following examples and find the basic solutions. Consider the non-negativity constraint for all.
    1. 2𝑥! + 3𝑥− 2𝑥# − 7𝑥$ = 1, 𝑥! + 𝑥+ 𝑥# + 3𝑥$ = 6, 𝑥! − 𝑥+ 𝑥# + 5𝑥$ = 4.
    2. 2𝑥! + 𝑥− 𝑥# = 2, 2𝑥! − 𝑥+ 5𝑥# = 6, 4𝑥! + 𝑥+ 𝑥# = 6.
    3. 𝑥! − 3𝑥# + 3𝑥$ = 6, 𝑥− 8𝑥# + 4𝑥$ = 4.
    4. 5𝑥! + 4𝑥+ 2𝑥# = .6, 7𝑥! + 2𝑥+ 𝑥# = .35.
    5. !” 𝑥! + 2𝑥+ 𝑥# = 24, 𝑥! + 2𝑥+ 4𝑥# = 60.