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Question

If A is a matrix of order 3 and |A| = 8, then |Adj A| =


A
1
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B
2
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C
23
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D
26
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Solution

The correct option is D 26
We know A.adj(A)=|A|000|A|000|A||A|.|adj(A)|=∣ ∣ ∣|A|000|A|000|A|∣ ∣ ∣|A|.|adjA|=|A|3 
Now question gives |A| = 8
8.|adjA|=83 or |adjA|=82=(23)2=26

Mathematics

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