The number of 3×3 skew-symmetric matrices that can be formed using 0 and some non-zero elements is:

The number of 3×3 skew-symmetric matrices that can be formed using 0 and some non-zero elements is:

• A. Infinitely many
• B. 27
• C. 6
• D. 9

Answer: A) Infinitely many

Explanation: A 3×3 skew-symmetric matrix has aᵢᵢ = 0 and aⱼᵢ = −aᵢⱼ. The entries above the diagonal (a₁₂, a₁₃, a₂₃) can be any real numbers. Since there are infinitely many choices for these three entries, there are infinitely many such matrices.