In a third order matrix $\mathrm{A}, \mathrm{a}_{i j}$ denotes the element in the $\mathrm{i}$-th row and $\mathrm{j}$-th column. $$ \text { If } \begin{aligned} a_{i} &=0 \text { for } i=j \\ &=1 \text { for } i>j \\ &=-1 \text { for } i<j \end{aligned} $$ Then the matrix is

In a third order matrix $\mathrm{A}, \mathrm{a}_{i j}$ denotes the element in the $\mathrm{i}$-th row and $\mathrm{j}$-th column.
$$
\text { If } \begin{aligned}
a_{i} &=0 \text { for } i=j \\
&=1 \text { for } i>j \\
&=-1 \text { for } i<j
\end{aligned}
$$
Then the matrix is
(A) skew symmetric
(B) symmetric
(C) not invertible
(D) non-singular

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In a third order matrix \(\mathrm{A}, \mathrm{a}_{i j}\) denotes the element in the \(\mathrm{i}\)-th row and \(\mathrm{j}\)-th column. $$ \text { If } \begin{aligned} a_{i} &=0 \text { for } i=j \\ &=1 \text { for } i>j \\ &=-1 \text { for } i<j \end{aligned} $$ Then the matrix is

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