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JEE Main 2021 · MathsMultiple choiceSingle correctEasyApplication

JEE Main 25 February 2021, Shift 2, Maths Q62

Question 62 of 90 in this shift, Maths question 2 of 30, Section A.

Let A be a

3 \times 3

matrix with det(A)

= 4

. Let

R_i

denote the

i^{th}

row of A. If a matrix B is obtained by performing the operation

R_2 \to 2R_2 + 5R_3

on 2A, then det(B) is equal to :

(1) $16$
(2) $80$
(3) $64$ Official answer
(4) $128$

Official answer

Option 3

NTA final key.

Chapter: Determinants
Topic: No close match in our taxonomy
Idea tested: No close match in our taxonomy

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.