JEE Main 2019MathematicsMatricesEasyMCQ

JEE Main 2019 — Matrices Question with Solution

JEE Main 2019 (12 Apr Shift 1)

Question

If A is a symmetric matrix and B is skew- symmetric matrix such that  A+B=235-1 , then AB is equal to:

Choose an option

Show full solutionCorrect option: C
Correct answer
C4-2-1-4

Step-by-step explanation

Given A is symmetric and B is skew symmetric, hence 
A=abbc and B=0d-d0
Now A+B=ab+db-dc=235-1
⇒a=2,  b=4,  c=-1 and d=-1
⇒A=244-1 and B=0-110
Hence AB=244-10-110=4-2-1-4

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 2019, 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.