[SOLVED] ORL Lab 1

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.
   4. 2𝑥_! + 3𝑥_” − 2𝑥_# − 7𝑥_$ = 1, 𝑥_! + 𝑥_” + 𝑥_# + 3𝑥_$ = 6, 𝑥_! − 𝑥_” + 𝑥_# + 5𝑥_$ = 4.
   5. 2𝑥_! + 𝑥_” − 𝑥_# = 2, 2𝑥_! − 𝑥_” + 5𝑥_# = 6, 4𝑥_! + 𝑥_” + 𝑥_# = 6.
   6. 𝑥_! − 3𝑥_# + 3𝑥_$ = 6, 𝑥_” − 8𝑥_# + 4𝑥_$ = 4.
   7. 5𝑥_! + 4𝑥_” + 2𝑥_# = .6, 7𝑥_! + 2𝑥_” + 𝑥_# = .35.
   8. ^!” 𝑥_! + 2𝑥_” + 𝑥_# = 24, 𝑥_! + 2𝑥_” + 4𝑥_# = 60.