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  4. The matrix [0&5&-7 -5&0&11 7&-11&0] is

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Q. The matrix $\begin{bmatrix}0&5&-7\\ -5&0&11\\ 7&-11&0\end{bmatrix}$ is

Matrices

Solution:

Let $A = \begin{bmatrix}0&5&-7\\ -5&0&11\\ 7&-11&0\end{bmatrix}$
$ A^{T}= \begin{bmatrix}0&-5&7\\ 5&0&-11\\ -7&11&0\end{bmatrix} = - \begin{bmatrix}0&5&-7\\ -5&0&11\\ 7&-11&0\end{bmatrix} = - A $
$ \therefore A^{T} = -A $
$\Rightarrow A$ is skew-symmetric matrix.