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Matrices and Determinants question

2021 · 27 Jul · Shift 1 · Q31
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Matrices and Determinants question

2021 · 27 Jul · Shift 1 · Q31

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
Let A=[12−14]A = \left[ {\begin{matrix} 1 & 2 \\ { - 1} & 4 \\ \end{matrix} } \right]A=[1−1​24​]. If A −-− 1 = α\alphaα I + β\betaβ A, α\alphaα, β∈\beta\inβ∈ R, I is a 2 ×\times× 2 identity matrix then 4(α−β\alpha-\betaα−β) is equal to :
  1. A
    5
  2. B
    83{8 \over 3}38​
  3. C
    2
  4. D
    4
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