Home » mcq » Linear Algebra » Consider the matrix \[{\text{P}} = \left[ {\begin{array}{*{20}{c}} {\frac{1}{{\sqrt 2 }}}&0&{\frac{1}{{\sqrt 2 }}} \\ 0&1&0 \\ {\frac{{ – 1}}{{\sqrt 2 }}}&0&{\frac{1}{{\sqrt 2 }}} \end{array}} \right]\] Which one of the following statements about P is INCORRECT? A. Determinant of P is equal to 1 B. P is orthogonal C. Inverse of P is equal to its transpose D. All eigen values of P are real numbers