JEE Main 202127 Jul, Morning shiftMathematicsMediumMatrices and Determinants245× since 2002Let A=[12−14]A = \left[ {\matrix{ 1 & 2 \cr { - 1} & 4 \cr } } \right]A=[1−124]. If A^−-−1 = α\alphaαI + β\betaβA, α\alphaα, β\betaβ ∈\in∈ R, I is a 2 ×\times× 2 identity matrix then 4(α\alphaα −-− β\betaβ) is equal to :AOption A. 5BOption B. 83{8 \over 3}38COption C. 2DOption D. 4CheckSkip · show solution