Hi VS,
Usually in these cases, finding the determinant is not as useful as finding the condition number. Unless you can show that the determinant is exactly zero. And in this case it is. You have
A = [0.2500000000 0.00000000959994 0 -1 0
0 0.2500000000000 0.0000000095999400 0 -1
0.2500000000 0.00000000000075 0 -1 0
0 0.2500000000000 0.0000000000007500 0 -1
0.2500000000 0.00000000087634 0 -1 0]
Subtract row 1 from row 3 to make a new row 3, which does not affect the determinant. Then subtract row 1 from row 5 to make a new row 5, which does not affect the determinant.
newrow3 = 1.0e-08 *
0 -0.9599 0 0 0
newrow5 = 1.0e-08 *
0 -0.8724 0 0 0
But these two new rows are proporional to each other, which means that they are not linearly independent, which means that the determinant is exactly zero. Which means that A does not have an inverse..
Best Answer