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
This Question Belongs to Engineering Maths >> Linear Algebra
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