JEE Main 2008 — Matrices Question with Solution
JEE Main 2008
Question
Let be a matrix with real entries. Let I be the identity matrix. Denote by , the sum of diagonal entries of . Assume that .
Statement -1: If and , then .
Statement : If and , then .
Choose an option
Show full solutionCorrect option: D
Correct answer
DStatement is true, Statement is false.
Step-by-step explanation
Let so that
and .
Since and hence
Statement 1 is true.
But tr. and hence statement 2 is false.
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This is a previous-year question from JEE Main 2008, 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.