Problem 2.1 Consider the system: 1 2-1 T 2 516 1 3-3 2 as di…

Problem 2.1 Consider the system: 1 2-1 T 2 516 1 3-3 2 as discussed in the module notes. Define the coefficient matrix A and the right-hand side vector b in a Matlab script. Use the ‘det’ function to determine whether the coefficient matrix is singular or non-singular. Call the determinant of A ‘detA’. Use the rref function to determine the RREF of the augmented matrix. Based on inspection of this reduced form, does the system have a unique solution? Why? Imagine that you need to solve the above linear system Ax – b. You could either use the operator, or find the inverse A- and then calculate x A- b. Using the ‘tic’ and toc’ functions in a script, show that the solution of the linear system is more efficiently performed using the former approach rather than the latter. Note – due to the small size of the system, you may have to perform the caleulatio loop say) so that there is a noticeable difference in timing between the two approaches. n a large number of times (in a

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