Q103
All the four entries of the 2 × 2 matrix \[ P = [ array*20c p_11& p_12 \\ p_21& p_22 array ]\] are nonzero, and one of its eigen values is zero. Which of the following statements is true?
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
AnswerD.
p11p22 + p12p21 = 0
Answer: Option C
Solution
Answer: Option C
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