Given the following linear system: 2 1 -1 2 5 4. 5 -3 6 9 = -2 5 -26 Z 4 4 11 4 8 w 2 1- Describe the algorithm that will transform the matrix equation into an upper triangular system. Describe all the steps in a flowchart. (Submit the flowchart in a pdf format) 2- Implement the algorithm. (Use of Python is advised) (Submit the .m matlab file or .py Python code) 3- Describe an algorithm that can be used for solving the equation Ux = b where U is an upper triangular matrix. 4- Implement the described algorithm in conjunction with the procedure you implemented in 2. Solve for x. 5- Compare your solution to the output of the expression inverse(A)*b Given the following linear system: 2 1 -1 2 5 4. 5 -3 6 9 = -2 5 -26 Z 4 4 11 4 8 w 2 1- Describe the algorithm that will transform the matrix equation into an upper triangular system. Describe all the steps in a flowchart. (Submit the flowchart in a pdf format) 2- Implement the algorithm. (Use of Python is advised) (Submit the .m matlab file or .py Python code) 3- Describe an algorithm that can be used for solving the equation Ux = b where U is an upper triangular matrix. 4- Implement the described algorithm in conjunction with the procedure you implemented in 2. Solve for x. 5- Compare your solution to the output of the expression inverse(A)*b