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Friday, 9 October

JEE Main Maths · Matrices

Involutory Matrix Properties

Involutory Matrix Properties (Matrices) was asked once in the 42 JEE Main shifts Lumi analysed, in 2023.

Times asked
1
in 1 shift
Years
2023
Usual format
Single correct
Multi-step
Pattern
Occasional
asked once so far

How it is asked

  • Trace and determinant of involutory matrix

Difficulty

Easy 0Medium 1Hard 0

Where it sits

Chapter: Matrices. Topic: Matrix Multiplication, 19 questions over 11 ideas.

Other repeat ideas in this topic

Every time it came

The question

Newest first, each with its options and official answer.

  1. 6 Apr 2023, Shift 1 · Q3Let A=[aij]2×2A=[a_{ij}]_{2\times2}, where aij≠0a_{ij}\neq0 for all i, j and A2=IA^2=I. Let aa be the sum of all diagonal elements of AA and b=∣A∣b=|A|.…MediumSingle correct