JEE Main 2016MathematicsMatricesMediumMCQ

JEE Main 2016 — Matrices Question with Solution

JEE Main 2016 (10 Apr Online)

Question

If A=-4-131 , then the determinant of the matrix A2016-2A2015-A2014 is :

Choose an option

Show full solutionCorrect option: D
Correct answer
D-25

Step-by-step explanation

A=-4-131

⇒  A2=-4-131 -4-131=133-9-2

and A=-1

Now, A2016-2A2015-A2014=A2014 A2-2A-I

 ⇒A2016-2A2015-A2014=A2014 A2-2A-I 

A2-2A-I=205-15-5

=A2014 205-15-5

=-25

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Matrices chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

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.