JEE Main 2026 — Matrices Question with Solution
JEE Main 2026 (28 January Shift 1)
Question
Let and be three matrices with real entries such that and . If and , then is
Choose an option
Show full solutionCorrect option: C
Correct answer
C0
Step-by-step explanation
From we get , so .
From : .
Calculating .
Since , we have , so .
Multiplying by : .
However, using the given and implies , i.e. .
Therefore .
Also .
From : .
So .
Therefore
From : .
Calculating .
Since , we have , so .
Multiplying by : .
However, using the given and implies , i.e. .
Therefore .
Also .
From : .
So .
Therefore
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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.