Verified Solution • 2025–26 Session moderate QJEEM24Ma0a44: JEE Main 2024 Mathematics - Class 12 JEEM24Ma0a44 Solution Let A=[1amp;0amp;00amp;αamp;β0amp;βamp;α] and ∣2 A∣3=221 where α,β∈Z, Then a value of α is \text { Let } A=\left[\begin{array}{lll}1 & 0 & 0 \\0 & \alpha & \beta \\0 & \beta & \alpha\end{array}\right] \text { and }|2 \mathrm{~A}|^3=2^{21} \text { where } \alpha, \beta \in Z \text {, Then a value of } \alpha \text { is } Let A=100amp;0amp;αamp;βamp;0amp;βamp;α and ∣2 A∣3=221 where α,β∈Z, Then a value of α is Multiple Choice Options A 9 B 17 C 3 D 5 Step-by-Step Verified Solution amp;∣A∣=α2−β2amp;∣2 A∣3=221⇒∣A∣=24amp;α2−β2=16amp;(α+β)(α−β)=16⇒α=4 or 5\begin{aligned}& |\mathrm{A}|=\alpha^2-\beta^2 \\& |2 \mathrm{~A}|^3=2^{21} \Rightarrow|\mathrm{A}|=2^4 \\& \alpha^2-\beta^2=16 \\& (\alpha+\beta)(\alpha-\beta)=16 \Rightarrow \alpha=4 \text { or } 5\end{aligned}amp;∣A∣=α2−β2amp;∣2 A∣3=221⇒∣A∣=24amp;α2−β2=16amp;(α+β)(α−β)=16⇒α=4 or 5 Related Learning Resources & Exam Preparation JEE Main PYQ Question Bank Browse year-wise authentic previous years' questions with solutions Authentic CBT Mock Tests Simulate official exam environment with live timer and percentile scoring