A) \[\left| \,A\, \right|+K\]
B) \[\left| \,A\, \right|+{{K}^{n}}\]
C) \[{{(\left| \,A\, \right|+K)}^{n}}\]
D) none of these
Correct Answer: C
Solution :
\[\because A\,\,(adj\,A)=\left| \,A\, \right|{{I}_{n}}\] |
\[\therefore \left| AB+K{{I}_{n}} \right|=\left| \,\,\left| \,A\, \right|{{I}_{n}}+K{{I}_{n}} \right|\] |
\[={{(\left| \,A\, \right|+K)}^{n}}\left| \,{{I}_{n}}\, \right|\]\[={{(\left| \,A\, \right|+K)}^{n}}\] |
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