Question

I) Use MATLAB to compute the determinants of the following two matrices.   (Use format rat)

P                                         Q

5	0	0	0	-1	-1	1	1
13	2	0	0	2	0	1	3
-6	4	-1	0	2	-1	1	2
10	0	3	-2	1	0	3	3

II) The determinant of P could be computed without MATLAB. What general fact could have been used to do this?

III) Use MATLAB to compute the matrix R= PQ and also det(R).

IV) The determinant of R could be determined without MATLAB compute det(R). What general fact could have been used to do this?

Answer 1

P=[5 0 0 0;13 2 0 0;-6 4 -1 0;10 0 3 -2]
i=det(P)
Q=[-1 -1 1 1;2 0 1 3;2 -1 1 2;1 0 3 3]
j=det(Q)
R=P*Q
k=det(R)