Matrix \(B=\begin{bmatrix}0 & 3 & 1\\-3 & 0 & -4\\P & 4 & 0\end{bmatrix}\) is skew-symmetric then value of \(P\) is

Q.1 (A) (i) Matrix \(B=\begin{bmatrix}0 & 3 & 1\\-3 & 0 & -4\\P & 4 & 0\end{bmatrix}\) is skew-symmetric then value of \(P\) is

A. 1

B. \(-1\)

C. 0

D. \(-3\)

Doubtly Asked 29 Oct 2026 Board exam · July 2025 hsc 12th Save WhatsApp Report

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Best answer

Answer: (b) \(-1\)

For a skew-symmetric matrix \(b_{ij}=-b_{ji}\). Here \(b_{31}=P\) and \(b_{13}=1\), so \(P=-1\). (Check: \(b_{32}=4=-b_{23}=-(-4)\).)

Doubtly AI · 29 Oct 2026 AI-verified · Nov 2026 Report

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