Given A=pmatrix1&-1&4\\3&2&-1\\2&1&-1pmatrix and B=(B ij) 33, B is the skew-symmetric matrix of A. Find B₁₃.

GATE 2023 PI – Question 11

Engineering Mathematics · Linear Algebra · 1 mark · MTA

Given $A=\begin{pmatrix}1&-1&4\\3&2&-1\\2&1&-1\end{pmatrix}$ and $B=(B_{ij})_{3\times3}$, B is the skew-symmetric matrix of A. Find B₁₃.

−3
−2
2
3

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Correct answer: MTA

Explanation

The skew-symmetric part is $B=(A-A^T)/2$. Hence $B_{13}=(4-2)/2=1$, which is absent from the choices. The final official key awards **marks to all**, retained here.

GATE 2023 PI – Question 11

Explanation

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