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PhiIotaNuNu (talk | contribs) m →Block matrices and submatrices: Fixed a typographical error in a matrix as someone forgot a backlash leading to an accidental LaTeX command rather than a newline Tags: Mobile edit Mobile app edit Android app edit App select source |
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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===
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