All the four entries of $$2$$ $$x$$ $$2$$ matrix
$$P = \left[ {\matrix{ {{p_{11}}} & {{p_{12}}} \cr {{p_{21}}} & {{p_{22}}} \cr } } \right]$$ are non-zero and one of the eigen values is zero. Which of the following statement is true?
$$P = \left[ {\matrix{ {{p_{11}}} & {{p_{12}}} \cr {{p_{21}}} & {{p_{22}}} \cr } } \right]$$ are non-zero and one of the eigen values is zero. Which of the following statement is true?
- A$${P_{11}}\,{P_{22}} - {P_{12}}\,{P_{21}} = 1$$
- B$${P_{11}}\,{P_{22}} - {P_{12}}\,{P_{21}} = - 1$$
- C$${P_{11}}\,{P_{22}} - {P_{21}}\,{P_{12}} = 0$$
- D$${P_{11}}\,{P_{22}} + {P_{12}}\,{P_{21}} = 0$$
✓ Correct answer: C
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