Question:medium

An \( n \times n \) matrix is formed using \( 0, 1 \) and \( -1 \) as its elements. The number of such matrices which are skew symmetric is:

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For skew symmetric matrices: \begin{itemize} \item Diagonal elements are always zero. \item Only upper triangular entries are independent. \item Number of independent entries = \( \frac{n(n-1)}{2} \). \end{itemize}
  • \( \frac{n(n-1)}{2} \)
  • \( (n-1)^2 \)
  • \( 2^{\frac{n(n-1)}{2}} \)
  • \( 3^{\frac{n(n-1)}{2}} \)
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The Correct Option is D

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