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Saturday, 31 October

JEE Main 2024 · MathsNumerical answerNumerical valueHardConceptual

JEE Main 1 February 2024, Shift 2, Maths Q21

Question 21 of 90 in this shift, Maths question 21 of 30, Section B.

Let A=I2−2MMTA=I_2-2MM^T, where MM is a real matrix of order 2×12\times1 such that the relation MTM=I1M^TM=I_1 holds. If λ\lambda is a real number such that the relation AX=λXAX=\lambda X holds for some non-zero real matrix XX of order 2×12\times1, then the sum of squares of all possible values of λ\lambda is equal to ________.

Official answer

2

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.