Exercises 1-6 will illustrate some properties of the determinant and help you sharpen your skills using MATLAB to manipulate matrices and perform matrix surgery. These exercises also reinforce the theoretical properties of the determinant that you learned in Chapter6. 1. Use the A round (20 rand (5,5)10*ones (5,5)) command to generate a random (5 x 5) matrix A having integer entries selected from [-10, 10]. Use Definition 3 to calculate det(A), using the MATLAB det command to cakculate the five cofactors A11, A12,..., Ais. Use matrix surgery to create the five minor matrices Mij (recall that the minor matrix is defined in Definition 2). Compare your result with the value of the determinant of A as calculated by the MATLAB command det (A)