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Practicing Success
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The matrix $A =\begin{bmatrix}i &1-2i\\-1-2i&0\end{bmatrix}$ is which of the following? |
symmetric skew-symmetric hermitian skew-hermitian |
skew-hermitian |
We have, $\bar A =\begin{bmatrix}i &1+2i\\-1+2i&0\end{bmatrix}$ $(\bar A)^T =\begin{bmatrix}-i &-1+2i\\1+2i&0\end{bmatrix}=-\begin{bmatrix}i &1+2i\\-1+2i&0\end{bmatrix}=-A$ Hence, A is skew-hermitian. |
