Let $A=\left[\begin{array}{cc}1 & 2 \ -1 & 4\end{array}\right]$. If $A^{-1}=\alpha I+\beta A, \alpha, \beta \in R . I$ is a $2 \times 2$ identify matrix, then $4(\alpha-\beta)$ is equal to: [JEE Main 2021, 27 Jul (Shift 1)]

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Let \(A=\left[\begin{array}{cc}1 & 2 \\ -1 & 4\end{array}\right]\). If \(A^{-1}=\alpha I+\beta A, \alpha, \beta …

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Let \(A=\left[\begin{array}{cc}1 &amp; 2 \\ -1 &amp; 4\end{array}\right]\). If \(A^{-1}=\alpha I+\beta A, \alpha, \beta …

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Let \(A=\left[\begin{array}{cc}1 & 2 \\ -1 & 4\end{array}\right]\). If \(A^{-1}=\alpha I+\beta A, \alpha, \beta …