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Question

If A is an n x n non-singular matrix, then |AdjA| is:

A
|A|n
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B
|A|n+1
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C
|A|n1
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D
|A|n2
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Solution

The correct option is C |A|n1
A.adj.A=|A|
|A(adj.A)|=∣ ∣ ∣ ∣|A|000.|A|....|A|.0..|A|∣ ∣ ∣ ∣n×n
|A||adj.A|=|A|n
|adj.A|=|A|n1

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