Question

For a 4 x 4 matrix $M\isin M_4(\mathbb{C})$, let M denote the matrix obtained from M by replacing each entry of M by its complex conjugate. Consider the real vector space
H = \\{M\isin M_4(\mathbb{C}):M^T=\overline M
where MT denotes the transpose of M. The dimension of H as a vector space over $\R$ is equal to

• A. 6
• B. 16
• C. 15
• D. 12

Answer 1

Answer: (B)

16

Answer 2

The correct option is (B): 16