Question

Which of the following is correct?

• A. \( B'AB \) is symmetric if \( A \) is symmetric.
• B. \( B'AB \) is skew-symmetric if \( A \) is symmetric.
• C. \( B'AB \) is symmetric if \( A \) is skew-symmetric.
• D. \( B'AB \) is skew-symmetric if \( A \) is skew-symmetric.

Hint:

The symmetry of the matrix transformation \( B'AB \) is determined by the symmetry properties of the matrix \( A \).