JEE Main 2012 — Matrices Question with Solution
JEE Main 2012 (12 May Online)
Question
Let and be real matrices of the form and , respectively.
Statement 1: is always an invertible matrix.
Statement is never an identity matrix.
Choose an option
Show full solutionCorrect option: A
Correct answer
AStatement 1 is true, Statement 2 is false.
Step-by-step explanation
Let and be real matrices such that and Now, and Statement-1:
is always an invertible matrix. Hence, statement is true. But can be identity matrix if or So, statement is false.
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This is a previous-year question from JEE Main 2012, 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.