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JEE MAIN 2025
02-04-2025 SHIFT-1
Question
Let $A = \left[ {\begin{array}{*{20}{c}} \alpha &{ - 1}\\ 6&\beta \end{array}} \right],\alpha > 0$, such that $\det (A) = 0$ and $\alpha + \beta = 1$. If I denotes $2 \times 2$ identity matrix, then the matrix ${(I + A)^8}$ is :
Select the correct option:
A
$\left[ {\begin{array}{*{20}{c}} {766}&{ - 255}\\ {1530}&{ - 509} \end{array}} \right]$
B
$\left[ {\begin{array}{*{20}{c}} {257}&{ - 64}\\ {514}&{ - 127} \end{array}} \right]$
C
$\left[ {\begin{array}{*{20}{l}} 4&{ - 1}\\ 6&{ - 1} \end{array}} \right]$
D
$\left[ {\begin{array}{*{20}{c}} {1025}&{ - 511}\\ {2024}&{ - 1024} \end{array}} \right]$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
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