Let {\B}=\left[\begin{array}{cc}1 & 3 \ 1 & 5]\end{array} and {\A} be a 2 \times 2 matrix such that {\AB}^{-1}= {\A}^{-1}. If {\BCB}^{-1}= {\A} and {\C}^4+\alpha {\C}^2+\beta {\I}= {\O}, then 2 \beta-\alpha is equal to : [9 Apr 2024 Shift 2]

JEE Main 9 Apr 2024 Shift 2 Solved Paper

Section: Mathematics

Question : 13 of 90

Marks: +1, -0

Let B=[

1	3
1	5

] and A be a 2×2 matrix such that AB−1=A−1. If BCB−1=A and C4+αC2+βI=O, then 2β−α is equal to :

[9 Apr 2024 Shift 2]

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1−λ	3
1	5−λ