A) \[|A|+\,\,K\]
B) \[|A|+\,\,{{K}^{n}}\]
C) \[{{(|A|+\,\,K)}^{n}}\]
D) none of these
Correct Answer: C
Solution :
\[\because \] \[A\,(adj\,A)=\,\,|A|{{I}_{n}}\] \[\because \] \[|AB+K{{I}_{n}}|\,\,=\,\,||A|{{I}_{n}}+K{{I}_{n}}|\,\,=\]\[{{(|A|+K)}^{n}}|{{I}_{n}}|\,\,={{(|A|+K)}^{n}}\] \[\therefore \] Ans. [c]You need to login to perform this action.
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