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Let A=I(2)-2MM^(T),where "M" is a real m...

Let `A=I_(2)-2MM^(T)`,where "M" is a real matrix of order `2times1` such that the relation `M^(T)M=I_(1)` holds.If `lambda` is a real number such that the relation `AX=lambda X` holds for some non-zero real matrix "X" of order `2times1` ,then the sum of squares of all possible values of `lambda` is equal to____________

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2024 ACTUAL PAPER-Question
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