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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
Best Of luck
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