A) diagonal matrix
B) null matrix
C) triangular matrix
D) none of these
Correct Answer: B
Solution :
[b] Let\[A=[{{a}_{ij}}]\]since A is skew-symmetric, we have \[{{a}_{ij}}=0\] and \[{{a}_{ij}}=-{{a}_{ij}}(i\ne j)\] A is symmetric as well, so \[{{a}_{ij}}={{a}_{ij}}\]for all i and j. \[\therefore {{a}_{ij}}=0\] For all \[i\ne j\] Hence, \[{{a}_{ij}}=0\] for all i and j, i.e., A is a null matrix.
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