Question
Classify the following matrices as a row, a column, a square, a diagonal, a scalar, a unit, an upper triangular, a lower triangular, a symmetric or a skew- symmetric matrix :
$\left[\begin{array}{lll}9 & \sqrt{2} & -3\end{array}\right]$
$\left[\begin{array}{lll}9 & \sqrt{2} & -3\end{array}\right]$
As matrix A has only one row. ∴ A is a row matrix.
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$\left[\begin{array}{ccc}2 & 0 & 0 \\ 3 & -1 & 0 \\ -7 & 3 & 1\end{array}\right]$
$\begin{aligned} & {\left[\begin{array}{lll}0 & -1 & 4\end{array}\right]\left\{2\left[\begin{array}{cc}4 & 5 \\ 3 & 6 \\ 2 & -1\end{array}\right]+3\left[\begin{array}{cc}4 & 3 \\ 1 & 4 \\ 0 & -1\end{array}\right]\right\}} \\ & =\left[\begin{array}{ll}x & y\end{array}\right] .\end{aligned}$
where $\mathrm{i}=\sqrt{-1}$, prove that $\mathrm{A}^{\top}=-\mathrm{A}$.