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
Answer: Option D
This Question Belongs to Engineering Maths >> Linear Algebra
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