Then, it is easy to verify that A = 2B Also
|A| = 0 – 8 = – 8 and |B| = 0 – 2 = – 2 Observe that, |A| = 4(– 2) = 22|B| or |A| = 2n|B|, where n = 2 is the order of
square matrices A and B In general, if A = kB where A and B are square matrices of order n, then | A| = kn
| B |, where n = 1, 2, 3
Example 3 Evaluate the determinant  ∆ = 
1
2
4
–1
3
0
4
1
0