Question:
The matrix
\[
\begin{pmatrix}
0 & 1 & -2 \\
-1 & 0 & -7 \\
2 & 7 & 0
\end{pmatrix}
\]
is a :
The matrix
\[
\begin{pmatrix}
0 & 1 & -2 \\
-1 & 0 & -7 \\
2 & 7 & 0
\end{pmatrix}
\]
is a :
Show Hint
To check for skew-symmetry, take the transpose of the matrix and check if $A^T = -A$.
Updated On: Feb 3, 2026
- diagonal matrix
- symmetric matrix
- skew symmetric matrix
- scalar matrix
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The Correct Option is C
Solution and Explanation
A matrix is skew-symmetric if $A^T = -A$. Let us check this property for the given matrix:
\[
A^T = \begin{pmatrix}
0 & -1 & 2 \\
1 & 0 & 7 \\
-2 & -7 & 0
\end{pmatrix}
\]
We see that $A^T = -A$, so the given matrix is skew-symmetric.
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