A) \[\pm \frac{1}{5}\]
B) \[\pm \,5\]
C) \[\pm \,1\]
D) \[\pm \,\frac{1}{25}\]
Correct Answer: A
Solution :
\[\left| 5\,adj\,A \right|=5\]\[\Rightarrow \]\[{{5}^{3}}\left| \,adj\,A \right|=5\] \[\Rightarrow \]\[\left| \,adj\,A \right|=\frac{1}{{{5}^{2}}}\]\[\Rightarrow \]\[{{\left| \,A \right|}^{3-1}}=\frac{1}{{{5}^{2}}}\] \[\Rightarrow \]\[\left| \,A \right|=\pm \frac{1}{5}\]
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