All the four entries of the 2 × 2 matrix P = \(\begin{bmatrix} P_{11}&P_{12}\\\ P_{21}&P_{22}\end{bmatrix}\)are non-zero, and one of its eigen values is zero. Which one of the following statements is true?
1
P11P22 - P12P21 = 1
2
P11P22 - P12P21 = -1
3
P11P22 - P12P21 = 0
4
P11P22 + P12P21 = 0