A) 0
B) n
C) \[+{{m}_{3}}\left[ \frac{F-({{m}_{1}}+{{m}_{2}}+{{m}_{3}})g\,\sin \theta }{({{m}_{1}}+{{m}_{2}}+{{m}_{3}})} \right]\]
D) None of these
Correct Answer: A
Solution :
Since. A is a skew-symmetric matrix. \[\therefore \] \[{{A}^{T}}=-A\] \[\Rightarrow \] \[|{{A}^{T}}|=|-A|\] \[\Rightarrow \] \[|A|={{(-1)}^{n}}|-A|\] Also, n is odd. \[\therefore \] \[2|A|=0\Rightarrow |A|=0\] Thus, \[\left| \text{adj}\,\,\text{A} \right|={{\left| \text{A} \right|}^{\text{2}}}\text{ }=0\]
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