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.
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