Matrices and Determinants 2 Question 19
21. Consider the set of all determinants of order 3 with entries 0 or 1 only. Let be the subset of consisting of all determinants with value 1 . Let be the subset of consisting of all determinants with value -1 . Then,
(a)
(b)
(c)
(d)
(1981, 2M)
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Answer:
Correct Answer: 21. (b)
Solution:
- Since,
is the determinant of order 3 with entries 0 or 1 only.
Also,
[since, if we interchange any two rows or columns,
then among themself sign changes]
Given,