A) \[D'={{D}^{2}}\]
B) \[D'={{D}^{3}}\]
C) \[D'=2{{D}^{2}}\]
D) \[D'=3{{D}^{3}}\]
Correct Answer: A
Solution :
[a] D? = cofactor D \[\Rightarrow \left| D' \right|=\left| cofactor\,\,D \right|\] \[\Rightarrow \left| D' \right|={{\left| D \right|}^{3-1}}\]. \[\Rightarrow \left| D' \right|={{\left| D \right|}^{2}}\]. So \[D'={{D}^{2}}\].
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