Condsider the set A of all determinants of order 3 with entries 0 and 1 only. Let B be the subset of A consisting of all the determinants with value 1. Let C be the subset of the set A consisting of all determinants with value -1. Then which of the following statements is/are incorrect ?

A) C is empty.

B) B has as many elements as C

C) A = B U C

D) B has twice as many elements as C

Please give a detailed answer.

Dear Sudheesh,

The correct answer is (b).

Let A= 1  0  1

  1  1  1

  1  1  0

as B belongs to A

B = 1  0 

      1  1

Similarly As C belongs to A.

C  =  1  0    = -1

        1  1

Best Of luck

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