*****$ 2. [10 points] What is the best linear equation solver you would use for each of the following cases and why? The options you have are listed below and all equations have the same number of unkowns. (a) Gauss elimination (with partial pivoting if needed). (b) Gauss-Jordan (with partial pivoting if needed). (0) the inverse method (d}Thomas (TDMA) (e) Gauss-Seidel (with relaxations if needed) (f) Jacobi (a) 50 equations. (b) 1000 equations that are diagonally dominant. (e) 1000 equations that are not diagonally dominant. (d) 50 systems all of them have the same left hand sides but different right hand sides. (e) 100 equations that form a tridiagonal pivoting and do not need partial pivoting. *'il'k'kft