Questions
If -order square matrix A is a orthogonal , then, is
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a
always -1 if n is even
b
always 1 if n is odd
c
always 1
d
none of these
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Correct option is B
Since A is orthogonal , henceAAT=I⇒AAT=1A∥AT=1⇒A2=1⇒|A|=±1Now,|adj(adjA)|=|A|(n−1)2= (±1)n−12Similar Questions
Let be a square matrix of order such that , then equals
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