JEE Main 2016MathematicsMatricesHardMCQ

JEE Main 2016 — Matrices Question with Solution

JEE Main 2016 (09 Apr Online)

Question

If P=3212-1232, A=1101 and Q=PAPT, then PT Q2015 P is :

Choose an option

Show full solutionCorrect option: C
Correct answer
C1201501

Step-by-step explanation

P=3212-1232   PT=32-121232

PPT=PTP=I

Q2015=PAPT PAPT ......(2015 terms)

=PA2015 PT      ...i

∴  PT Q2015 P=PTP A2015PTP=A2015   from..i

Given A=1101
⇒ A2=1101  1101=1201

⇒ A3=1201 1101=1301

∴ A2015=1201501

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About this question

This is a previous-year question from JEE Main 2016, 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.