JEE Main 2022 · MathsMultiple choiceSingle correctMediumConceptual

JEE Main 28 July 2022, Shift 2, Maths Q63

Question 63 of 90 in this shift, Maths question 3 of 30, Section A.

Let A and B be any two

3\times 3

symmetric and skew symmetric matrices respectively. Then which of the following is NOT true?

(1) $A^4-B^4$ is a smmetric matrix
(2) $AB-BA$ is a symmetric matrix
(3) $B^5-A^5$ is a skew-symmetric matrixOfficial answer
(4) $AB+BA$ is a skew-symmetric matrix

Official answer

Option 3

NTA final key.

Chapter: Matrices
Topic: Matrix Multiplication
Idea tested: Product of Symmetric Matrices

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Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.