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Question

For a invertible matrix A if A(adj A)=[100010], then |A|=

A
100
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B
100
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C
10
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D
10
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Solution

The correct option is C 10
Given : A(adj A)=[100010]=10[1001]=10 I
We know that, A1=1|A|Adj(A)A(adj A)=|A|I
|A|=10

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