A) 0
B) 1
C) 3
D) none of these
Correct Answer: D
Solution :
[d] tr \[tr(A)=\sum\limits_{i=j}{{{a}_{ij}}=({{a}_{11}}+{{a}_{22}}+{{a}_{33}}+...+{{a}_{10\infty 10}})}\] \[=({{w}^{2}}+{{w}^{4}}+{{w}^{6}}+...+{{w}^{20}})\] \[={{w}^{2}}(1+{{w}^{2}}+{{w}^{4}}+...+{{w}^{18}})\] \[={{w}^{2}}[(1+w+{{w}^{2}})+...+(1+w+{{w}^{2}})+1]\] \[={{w}^{2}}\times 1={{w}^{2}}\]
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