JEE Main 2013 — Inverse Trigonometric Functions Question with Solution
JEE Main 2013 (25 Apr Online)
Question
Let
Then the number of non-singular matrices in the set is :
Choose an option
Show full solutionCorrect option: D
Correct answer
D20
Step-by-step explanation
The matrices in the form
At any place, means 0,1 or 2 will be the element at that place.
Hence there are total ) matrices of the above form. Out of which the matrices which are singular are
Hence there are total singular matrices.
Therefore number of all non-singular matrices in the given form
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This is a previous-year question from JEE Main 2013, covering the Inverse Trigonometric Functions chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.