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Suppose that a,b,c are real numbers such...

Suppose that a,b,c are real numbers such that ` a+b+ c =1` If the matrix ` A= [{:( a,b,c),( b,c,a),(c,a,b) :}]` be an orthogonal matrix,then

A

A is an involutory matrix

B

|A| is negative

C

`a^(3) +b^(3) +c^(3)-abc =+-1`

D

at least one of a,b,c is negative

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The correct Answer is:
A, B, D
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