Learn

Saturday, 31 October

JEE Main · Maths · Matrices

Solving Matrix Equations

JEE Main asked Solving Matrix Equations 3 times in 3 of the 108 shifts Lumi analysed, in 2022 and 2026. It belongs to Matrix Inverse, in Matrices (Maths). The longest wait between two years asking it was 4 years. In 2026 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
3
in 3 shifts
Years
2 of 8
First asked
2022
last in 2026
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2022 and 2026. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.150.30’170’200’210.04’220’230’240’250.22’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 0 in 24 shifts · 2022: 1 in 24 shifts · 2023: 0 in 12 shifts · 2024: 0 in 18 shifts · 2025: 0 in 8 shifts · 2026: 2 in 9 shifts.

Shift by shift

Each square is one analysed shift, in date order. Open a filled one for that paper.

  • 20262 of 9
  • 20250 of 8
  • 20240 of 18
  • 20230 of 12
  • 20221 of 24
  • 20210 of 24
  • 20200 of 12
  • 20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Single correct is the usual form. Skill tested: multi-step.

  • Solve matrix equation pa=b
  • Solve matrix equation from images of basis

Difficulty

Easy 0Medium 3Hard 0

1 of the 3 questions had a numerical answer.

Every question

All 3 questions

From the official JEE Main shift papers, newest first. Open one for the full question, the options and the official answer.

  1. 5 Apr 2026, Shift 2 · Q4Let M be a 3×33\times 3 matrix such that M(100)=(123)M\begin{pmatrix}1\\0\\0\end{pmatrix}=\begin{pmatrix}1\\2\\3\end{pmatrix},…MediumSingle correct
  2. 2 Apr 2026, Shift 2 · Q22Consider the matrices A=[2−24−2]A = \begin{bmatrix} 2 & -2 \\ 4 & -2 \end{bmatrix} and B=[−3913]B = \begin{bmatrix} -3 & 9 \\ 1 & 3 \end{bmatrix}. If…MediumNumerical value
  3. 30 Jul 2022, Shift 2 · Q64Let AA be a matrix and…MediumSingle correct

Shifts: 30 Jul 2022, Shift 2, 2 Apr 2026, Shift 2, 5 Apr 2026, Shift 2.

Same topic

Other ideas in Matrix Inverse

Matrix Inverse has 14 ideas JEE Main has asked; 7 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas