JEE Main 2012 — Matrices Question with Solution
JEE Main 2012 (19 May Online)
Question
If denotes the transpose of the matrix , where and are integers such that , then the number of such matrices for which is
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
...(ii)
abde
From (ii),
From (iii) and (iv),
From (i) and (v),
From (iv), (v) and (vi), it is clear that , can be any non-zero integer such that
But it is only possible, if Hence, there are 2 choices for each and . there fore, there are choices for and . Hence number of required matrices
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