All the four entries of the 2 × 2 matrix \[{\text{P}} = \left[ {\begin{array}{*{20}{c}} {{{\text{p}}_{11}}}&{{{\text{p}}_{12}}} \\ {{{\text{p}}_{21}}}&{{{\text{p}}_{22}}} \end{array}} \right]\]   are nonzero, and one of its eigen values is zero. Which of the following statements is true?

A. p₁₁p₂₂ - p₁₂p₂₁ = 1

B. p₁₁p₂₂ - p₁₂p₂₁ = -1

C. p₁₁p₂₂ - p₁₂p₂₁ = 0

D. p₁₁p₂₂ + p₁₂p₂₁ = 0

Answer: Option C