If Q is a symmetric matrix of order n with strictly positive eigenvalues show that the quadratic form xQxT is strictly positive whenever x is not identically 0. The exponent of a normal density is hence strictly negative everywhere.
If Q is a symmetric matrix of order n with strictly positive eigenvalues show that the quadratic form xQxT is strictly positive whenever x is not identically 0. The exponent of a normal density is hence strictly negative everywhere.
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