The matrix [[1/√2, 1/√2], [−1/√2, 1/√2]] is an example of a/an:

The matrix [[1/√2, 1/√2], [−1/√2, 1/√2]] is an example of a/an:

• A. Orthogonal matrix
• B. Symmetric matrix
• C. Skew-symmetric matrix
• D. Singular matrix

Answer: A) Orthogonal matrix

Explanation: Let A be the given matrix. A' = [[1/√2, −1/√2], [1/√2, 1/√2]]. AA' = [[1, 0], [0, 1]] = I. So A is orthogonal. It is not symmetric (A ≠ A') and not skew-symmetric (A ≠ −A').