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Line 159: which is not real. Therefore, <math>\ M\ </math> is not positive-definite. On the other hand, for a ''symmetric'' real matrix <math>\ M\ ,</math> the condition "<math>\ \mathbf{z}^\top M\ \mathbf{z} > 0\ </math> for all nonzero real vectors <math>\ \mathbf{z}\ </math>" ''does'' imply that <math>\ M\ </math> is positive-definite in the complex sense. ===Notation===

Definite matrix: Difference between revisions