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Reference.org
Duplication and elimination matrices
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<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, especially in <a href="/facts/Linear_algebra/8VaB4VWk">linear algebra</a> and <a href="/facts/Matrix_(mathematics)/qa8FI4ko">matrix theory</a>, the duplication matrix and the elimination matrix are <a href="/facts/Linear_transformation/Q1PBKNVV">linear transformations</a> used for transforming <a href="/facts/Vectorization_(mathematics)/P9a2895l">half-vectorizations</a> of <a href="/facts/Matrix_(mathematics)/qa8FI4ko">matrices</a> into <a href="/facts/Vectorization_(mathematics)/P9a2895l">vectorizations</a> or (respectively) vice versa. </p>