Question

If a matrix \(A=\dfrac{1}{3}\begin{bmatrix}1& 2& 2\\2& 1&-2-2& 2&-1\end{bmatrix}\), then

• A. \(|A|\ne 1\)
• B. \(A\) is a symmetric matrix
• C. \(A\) is a skew symmetric matrix
• D. \(A\) is an orthogonal matrix

Hint:

To check an orthogonal matrix, verify that rows or columns are mutually perpendicular and each has unit length.

Answer 1

The Correct Option is D