Matrices and Determinants 2 Question 19

21. 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 value 1 . Let C be the subset of A consisting of all determinants with value -1 . Then,

(a) C is empty

(b) B has as many elements as C

(c) A=BC

(d) B has twice as many elements as C

(1981, 2M)

Show Answer

Answer:

Correct Answer: 21. (b)

Solution:

  1. Since, A is the determinant of order 3 with entries 0 or 1 only.

Also, B is the subset of A consisting of all determinants with value 1 .

[since, if we interchange any two rows or columns,

then among themself sign changes]

Given, C is the subset having determinant with value -1 .

B has as many elements as C.



जेईई के लिए मॉक टेस्ट

एनसीईआरटी अध्याय वीडियो समाधान

दोहरा फलक