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Saturday, 31 October

JEE Main 2021 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 24 February 2021, Shift 1, Maths Q84

Question 84 of 90 in this shift, Maths question 24 of 30, Section B.

Let M be any 3×33 \times 3 matrix with entries from the set {0,1,2}\{0, 1, 2\}. The maximum number of such matrices, for which the sum of diagonal elements of MTMM^T M is seven, is ___________.

Official answer

540

NTA final key.

Chapter
Matrices
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.