Matrices Question - CBSE

Question

Show that the matrix $A = \begin{bmatrix} 0 & 1 & -1 \ -1 & 0 & 1 \ 1 & -1 & 0 \end{bmatrix}$ is a skew-symmetric matrix.

Accepted Answer

$A' = \begin{bmatrix} 0 & -1 & 1 \ 1 & 0 & -1 \ -1 & 1 & 0 \end{bmatrix}$. [1.0 Mark]
$A' = -A \Rightarrow$ Matrix $A$ is skew-symmetric. Proved! [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Finding transpose matrix $A'$: 1.0 Mark
Concluding $A' = -A$: 1.0 Mark

Question:

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