Question: 1. List and explain different methods (RREF, Cramer's, LU, inverse of a matrix) to solve linear systems.! 2. Mathematics: ! ! Show/ Write in brief

1. List and explain different methods (RREF, Cramer's, LU, inverse of a matrix) to solve linear systems.! 2. Mathematics: ! ! Show/ Write in brief working of all methods and brief comparison* ! Which one method (or more) do you prefer and why? Include details on numerical efficiency, advantages of one over other etc. List drawbacks if any.** ! ! ! 3. Who developed this method and if known what led to its development.! 4. Solving a linear system (at least a 3 by 3) using your favorite method/ methods.! 5. Write a program on your favorite method to solve a linear system and implement it on an example. (Remember we are dealing with unique solution only)

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