Let A be a 3 \times 3 real matrix such that A^2(A-2 I)- 4(A-I)=0, where I and O are the identity and null matrices, respectively. If A^5=\alpha A^2+\beta A+\gamma l, where \alpha, \beta and \gamma are real constants, then \alpha+\beta+\gamma is equal to: [2 Apr 2025 Shift 2]

JEE Main 2 Apr 2025 Shift 2 Paper

Section: Mathematics

Question : 19 of 75

Marks: +1, -0

Let A be a 3×3 real matrix such that A2(A−2I)−4(A−I)=0, where I and O are the identity and null matrices, respectively. If A5=αA2+βA+γl, where α,β and γ are real constants, then α+β+γ is equal to:

[2 Apr 2025 Shift 2]

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