MCQ
If $A$ is a square matrix for which ${a_{ij}} = {i^2} - {j^2}$, then $A$ is
- AZero matrix
- BUnit matrix
- CSymmetric matrix
- ✓Skew symmetric matrix
For a skew symmetric matrix ${a_{ji}} = -{a_{ji}}$
$\Rightarrow$ ${a_{ij}} = {i^2} - {j^2}$ and ${a_{ji}} = {j^2} - {i^2}$
$\Rightarrow$ ${a_{ij}} + {a_{ji}} = 0$
$\Rightarrow \,{a_{ij}} = - {a_{ji}}$
Hence, $ {a_{ji}}$ is a skew symmetric matrix.
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
$[A]$ $f(x)$ is increasing in $(0, \infty)$
$[B]$ $f(x)$ is decreasing in $(0, \infty)$
$[C]$ $f(x)>e^{2 x}$ in $(0, \infty)$
$[D]$ $f^{\prime}(x) < e^{2 x}$ in $(0, \infty)$