JEE Main 2026 — Matrices Question with Solution
JEE Main 2026 (21 January Shift 1)
Question
For some , let and be such that . Then is equal to .
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Show full solutionCorrect answer: 225
Correct answer
225
Step-by-step explanation
From : characteristic equation is .
For : .
From : characteristic equation is .
For : .
, .
.
.
For 2×2 matrix: .
.
For : .
From : characteristic equation is .
For : .
, .
.
.
For 2×2 matrix: .
.
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This is a previous-year question from JEE Main 2026, 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.