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fixed slightly misleading sentence |
I deleted the comment "I think" at the end of the second paragraph, refering to z*Mz being real. |
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'''(1)''' For all non-zero vectors ''z'' in '''C'''<sup>''n''</sup> we have
:<i>z</i><sup>*</sup> <i>M z</i> > 0.
Here we view ''z'' as a column vector with ''n'' [[complex number|complex]] entries and ''z''<sup>*</sup> as the [[conjugate transpose|complex conjugate of its transpose]]. (''M'' being Hermitian, ''z''<sup>*</sup> ''M'' ''z'' is always real
'''(2)''' For all non-zero vectors ''x'' in
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