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Friday, 9 October

JEE Main Maths · Determinants

Singular and Non-singular Matrices

Singular and Non-singular Matrices (Determinants) was asked 2 times in 2 JEE Main shifts, 2025–2026, out of the 42 shifts Lumi analysed. 1 of the 2 had a numerical answer.

Times asked
2
in 2 shifts
Years
2025–2026
Usual format
Numerical value
Multi-step
Pattern
New since 2024
repeats across shifts

How it is asked

  • Singular matrix parameter then extrema of integral
  • Count singular matrices from a set

Difficulty

Easy 0Medium 2Hard 0

Where it sits

Chapter: Determinants. Topic: Matrix Inverse, 22 questions over 7 ideas.

Other repeat ideas in this topic

Every time it came

All 2 questions

Newest first, each with its options and official answer.

  1. 6 Apr 2026, Shift 2 · Q17Let A=[13−121α01−1]A=\begin{bmatrix}1&3&-1\\2&1&\alpha\\0&1&-1\end{bmatrix} be a singular matrix. Let f(x)=∫0x(t2+2t+3)dtf(x)=\int_0^x\left(t^2+2t+3\right)dt,…MediumSingle correct
  2. 7 Apr 2025, Shift 1 · Q22The number of singular matrices of order 2, whose elements are from the set {2,3,6,9}\{2, 3, 6, 9\}, is ___________.MediumNumerical value