If A and B are square matrices of order 3 x 3 such that A is an orthogonal matrix and B is a skew-symmetric matrix, then which of the following statements is true?
Answer & explanation
Correct answer: option 2
We have,
A an orthogonal matrix $⇒ |A|=±1$
B a skew-symmetric matrix of odd order $⇒ |B|=0$
$∴|AB|=|A||B|⇒|AB|=(±1)× 0=0$.