Questions 1 and 3

Please enclose relevant printouts of the code you wrote and MATLAB's workspace in which you executed it. 1. Please observe the system of linear equations x1 2x2 3x3-1 4x, 7x2 14x3 3 a) Using the Gauss-Jordan method, augment A with I and solve for A by hand. b) Find the solution vector, x, by multiplying A b by hand, showing work. c) Based on the condition number of A, do you trust the result you found in part b). Use MATLAB if you like. d) Using MATLAB, check your work. Compute the inverse of A and print the output-it should be the same as what you computed manually. Confirm (or discuss why not) MATLAB returns the identity matrix when you multiply the inverse of the matrix A that you found with the matrix A. e) 2 Usethe Gaus- oadan Mctho th ivense ofthe following matrix 2 10 A=13 4 6 4 4 2 Did you notice anything strange? Please comment on what happened. Calculate the determinant of this matrix and find the condition number to confirm your judgment. 3. Repeat problem 1 using the Cramer's method (+10 pt bonus: create a function in MATLAB that solves any 3 by 3 matrix using Cramer's method. Call the fiunction myCramer)