JEE Main 2013 — Matrices Question with Solution
JEE Main 2013 (23 Apr Online)
Question
Let , other than or , be a real matrix such that , I being the unit matrix. Let be the sum of diagonal elements of A.
Statement-1:
Statement-2:
Choose an option
Show full solutionCorrect option: B
Correct answer
BStatement-1 is true; Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
Step-by-step explanation
' ' and ' ' are diagonal elements statement- 1 is correct.
Now,
Now, from (3) and
So,
Adding
or
So,
So, statement is also true.
But statement is not the correct explanation of statement-I
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Matrices chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.
Solve interactively →About this question
This is a previous-year question from JEE Main 2013, covering the Matrices 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.