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Reference.org
Centering matrix
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<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a> and <a href="/facts/Multivariate_statistics/tDuNcWrL">multivariate statistics</a>, the centering matrix is a <a href="/facts/Symmetric_matrix/08CGwjNl">symmetric</a> and <a href="/facts/Idempotent_matrix/88Es7cEn">idempotent matrix</a>, which when multiplied with a vector has the same effect as subtracting the <a href="/facts/Mean/swcEd4Pg">mean</a> of the components of the vector from every component of that vector. </p>