Let \(A=\left[a_{i j}\right]_{2 \times 2}\) where \(a_{i j} \neq 0\) for all \(i, j\) and \(A^2=I\). Let \(a\) be the su…

Let \(A=\left[a_{i j}\right]_{2 \times 2}\) where \(a_{i j} \neq 0\) for all \(i, j\) and \(A^2=I\). Let \(a\) be the sum of all diagonal elements of \(A\) and \(b=|A|\), then \(3 a^2+4 b^2\) is equal to

[JEE Main 2023, 6 Apr (Shift 1)]