JEE Main 2022 · MathsMultiple choiceSingle correctEasyConceptual

JEE Main 29 July 2022, Shift 2, Maths Q2

Question 2 of 90 in this shift, Maths question 2 of 30, Section A.

Which of the following matrices can NOT be obtained from the matrix

\begin{bmatrix}-1 & 2\\ 1 & -1\end{bmatrix}

by a single elementary row operation ?

(1) $\begin{bmatrix}0 & 1\\ 1 & -1\end{bmatrix}$
(2) $\begin{bmatrix}1 & -1\\ -1 & 2\end{bmatrix}$
(3) $\begin{bmatrix}-1 & 2\\ -2 & 7\end{bmatrix}$ Official answer
(4) $\begin{bmatrix}-1 & 2\\ -1 & 3\end{bmatrix}$

Official answer

Option 3

NTA final key.

Chapter: Matrices
Topic: Matrix Inverse
Idea tested: Elementary Row Transformations

Same topic in other shifts

All Matrix Inverse questions

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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.