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Friday, 9 October

JEE Main 2026 · MathsNumerical answerNumerical valueMediumCalculation

JEE Main 2 April 2026, Shift 2, Maths Q22

Question 22 of 75 in this shift, Maths question 22 of 25, Section B.

Consider 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 matrices PP and QQ are such that PA=BPA = B and AQ=BAQ = B, then the absolute value of the sum of the diagonal elements of 2(P+Q)2(P + Q) is

Official answer

34

NTA final key.

Chapter
Matrices
Topic
Matrix Inverse
Idea tested
Solving Matrix Equations

Same idea in other shifts

Asked 2× in all
  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

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 42 of the 174 JEE Main shifts held from 2017 to 2026.