Algorithm $1$: Implement the forward substitution function to solve a lower triangular system of a general $\backslash$times $$ matrix.$$Algorithm $2$: Implement the backward substitution function to solve a upper triangular system of a general $\backslash$times $$ matrix.$$Algorithm $3$: Implement the Gauss Elimination algorithm to solve the system Ax $=$ b$,$ where A is a full rank $\backslash$times $$ matrix and b is a known $\backslash$times $1$ vector and x is the unknown vector.