DeterminantMedium
Question
Consider the set A of all determinants of order 3 with entries 0 or 1 only. Let B be the subset of A consisting of all determinants with valus 1. Let C be the subset of A consisting of all deter minants with value,
Options
A.C is empty
B.B has as many elements as C
C.A = B
C
CD.B has twice as many elements as C
Solution
Since, A is the determinant of other 3 with entries 0 of 1 only.
Also, B is the subset of A consisting of all determinants with value 1.
(We know by interchanging any two rows or columns among themself sign changes)
Given that, CD is the subset having determinant with value - 1
∴ B has as many elements as C.
Also, B is the subset of A consisting of all determinants with value 1.
(We know by interchanging any two rows or columns among themself sign changes)
Given that, CD is the subset having determinant with value - 1
∴ B has as many elements as C.
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