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==Definition==
As stated above, a diagonal matrix is a matrix in which all off-diagonal entries are zero. That is, the matrix {{math|1='''D''' = (''d''<sub>''i'',''j''</sub>)}} with {{mvar|n}} columns and {{mvar|n}} rows is diagonal if
<math display="block">\forall i,j \in \{1, 2, \ldots, n\}, i \ne j \implies d_{i,j} = 0.</math>
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