A) \[1\]
B) \[2\]
C) \[3\]
D) \[4\]
Correct Answer: C
Solution :
[c] \[|adj\,A|\,=\,|A{{|}^{2}}\] for a \[3\times 3\] matrix Given that adj \[A=k{{A}^{T}}\] \[\Rightarrow \,\,\,|adj\,A|\,=\,|k{{A}^{T}}|=\,|{{k}^{3}}|A|\] \[\therefore \,\,\,\,{{k}^{3}}|A|=\,|A{{|}^{2}}\] \[\Rightarrow \,\,\,|A|=\,{{k}^{3}}\] \[\Rightarrow \,\,\,{{k}^{3}}=27\Rightarrow k=3\]You need to login to perform this action.
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