Given the following linear system: 1 2 1 01 -3 -5 6 12 1- Describe the flowchart of an algorithm that will transform the augmented (A/b) matrix into an upper triangular system 2- Implement the algorithm. (Use of Matlab is advised) 3- The following algorithm can be used for solving the equation Ux b where U is an upper triangular matrix: 1 for k= n,n-l, . . , l 2 do 3 for i k+1, k+2,. ..n 4 do Implement the described algorithm in conjunction with the procedure you implemented in 3. Solve for x 4- 5- Compare your solution to the output of the expression "inv(A)*b" in Matlab. 6- Comment