Let A = I_2 − 2MM^T, where M is a real matrix of order 2 × 1 such that the relation M^TM = I_1 holds. If λ is...

Question

Let A = I_2 − 2MM^T, where M is a real matrix of order 2 × 1 such that the relation M^TM = I_1 holds. If λ is a real number such that the relation AX = λX holds for some non-zero real matrix X of order 2 × 1, then the sum of squares of all possible values of λ is equal to ________.

Accepted Answer

2

JEE Main 2024 Mathematics question

Solution