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Question

If A=⎡⎢⎣1−1102−3210⎤⎥⎦,B=(adjA) and C=5A, then |C||adjB| is equal to

A
25
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B
1
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C
1
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D
5
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Solution

The correct option is D 1
Since, A=111023210,B=(adjA)
B=adj(A)=311623432
adj(B)=555010151050
|adj(B)|=∣ ∣555010151050∣ ∣=625
Also C=5A
|C|=53|A|=125∣ ∣111023210∣ ∣=625
Hence, |C||adj(B)|=625625=1

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