Let A be a \(2\times 2\) matrix with non-zero entries and let \(\mathrm{A}^{2}=I\), where I is \...

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Let A be a \(2\times 2\) matrix with non-zero entries and let \(\mathrm{A}^{2}=I\), where I is \(2\times 2\) identity matrix. Define Tr(A) \(=\) sum of diagonal elements of A and \(|\mathrm{A}|=\) determinant of matrix A.
Statement-1 Tr(A) \(=0\) Statement-2: \(|\mathrm{A}|=1\)
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