Q.
If the matrices A=1121341-13,B=adjA and C=3A , then |adjB||C| is equal to:
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a
16
b
2
c
8
d
72
answer is C.
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Detailed Solution
We have A=1121341−13=9+4−13−4+2−1−3=13+1−8=6|adjB|=|adj(adjA)|=|adjA|n-1=|A|(n-1)2=|A|4=64 and |C|=|3A|=33×6 Hence, |adjB||C|=6433×6=8
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