Let A=(\table 2 , -1 , -1 ; 1 , 0 , -1 ; 1 , -1 , 0) and B=A-I. If \omega=\frac\sqrt{3} i-1}{2}, then the number of elements in the set \{n \in\{1,2, . . ., 100\}: A^{n}+(\omega B)^{n}=A+B\} is equal to [25-Jul-2022-Shift-1]

JEE Mains 25-July-2022 Shift 1 Solved Paper

Section: Mathematics

Question : 21 of 90

Marks: +1, -0

Let A=(

) and B=A−I. If ω=‌

√3i−1

, then the number of elements in the set {n∈{1,2,...,100}:An+(ωB)n=A+B} is equal to

[25-Jul-2022-Shift-1]

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