Reread all directions on the previous page that are typed in boldface. 1. Consider the system of equations (21+ 2+2+ 13 = 10 501 + 4.82 + 6.13 = 44 ( 21 +14.02 - 10.03 = -32
(a) Enter it into MATLAB as an augmented) matrix named A.
(b) Use elementary row operations (as in part 5 of the guide) to reduce it to row echelon form.
(c) Continue using elementary row operations to get to reduced row echelon form.
(d) Give the solution of the system.
2. Consider the system of equations 11 - 2.12 + 504 + Is = 7 J -501 +10.12 - 3.13 - 31:14 - 205 = -26 11 - 2.12 - 21:13 - 39.5 4 + 28r5 = 74 1-2.r1 + 4.82 - 9.r3 - 28r4+ 7rs = 13
(a) Enter it into MATLAB as an augmented) matrix named B.
(b) Use elementary row operations (as in part 5 of the guide) to reduce it to row echelon form.
(c) Continue using elementary row operations to get to reduced row echelon form.
(d) Re-enter the original matrix into MATLAB and use the rref command to instantly get the reduced row echelon form. Make sure it is the same as your previous answer. (From this point onward, we will make extensive use of the rref command in MATLAB. You do not need to do row reduction in MATLAB one elementary row operation at a time anymore.)
(e) * Give the solution of the system in parametric vector form.
3. Start this problem in format short. Enter the matrix A= [1.3 9.9 1.7 0.4 5.6 8.8 6.7 1.9 3.7 4.6 9.8 1.6
(a) Convert it to reduced row echelon form using rref.
(b) Rewrite this matrix with fractions rather than decimals.
(c) *Write the solution of the system which corresponds to this matrix (as if it were an augmented matrix). Use fractions, not decimals.
4. Do problem #3 on p. 87 of the textbook. For each part, be sure to explictly give the appropriate system of equations as a comment before entering the appropriate matrices into MATLAB. Show all of your necessary MATLAB computations.