A) Diagonal
B) Null
C) Triangular
D) None of these
Correct Answer: B
Solution :
[b] Let \[A={{[{{a}_{ij}}]}_{n\times m}}\]. Since A is skew-symmetric \[{{a}_{ii}}=0\] (i = 1, 2,???.n) and \[{{a}_{ji}}=-{{a}_{ji}}(i\ne j)\] Also, A is symmetric so \[{{a}_{ji}}=-{{a}_{ji}}\forall \] i and j \[\therefore {{a}_{ji}}=0\forall i\ne j\] Hence \[{{a}_{ij}}=0\forall \] i and \[j\Rightarrow A\] is a null zero matrix
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