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Compute the products \(E_{12} E_{21}\) and \(E_{21} E_{12}\) in \(M_2(\mathbb{R})\), where \(E_{ij}\) is the elementary matrix with a single \(1\) at position \((i, j)\). State the general product rule \(E_{ij} E_{kl} = ?\) in terms of the Kronecker symbol \(\delta_{jk}\).
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