Using the following equation system, determine the requested information. 2x1+x2+2x3=3x1+x2x3=43x1+x3=5 a. In Ax=b format, show your A matrix and x and b vectors. b. Show the augmented matrix that would be used to solve the system of equations. c. Solve the system of equations using Gaussian Elimination with Back Substitution. Be sure to show clearly the row operations you use during elimination of the augmented matrix into upper triangular format for the A portion of the augmented matrix. Use row notations (e.g. R2+3R1 would mean that row 2 had been added to 3 times row 1 and placed into the row which it is next to in the augmented matrix). d. Solve the system of equations using Gaussian-Jordan Elimination to get the augmented matrix in reduced row echelon form. Be sure to show clearly the row operations you use during forward and backward elimination of the augmented matrix into the diagonal form. Make sure that in your final result that the diagonal of the A portion of the final augmented matrix has its diagonal elements normalized to values of 1 . Note: You can check your results using Matlab. However, for full credit show the steps used in hand calculation via the noted methods above