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JEE MAIN 2025
02-04-2025 S2
Question
Let A be a $3 \times 3$ real matrix such that $A^2(A-2 I)-4(A-I)=O$, where I and O are the identity and null matrices, respectively. If $A^5=\alpha A^2+\beta A+\gamma I$, where $\alpha, \beta$, and $\gamma$ are real constants, then $\alpha+\beta+\gamma$ is equal to :
Select the correct option:
A
4
B
12
C
76
D
20
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
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JEE Main
Mathematics
Medium
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