Positive, negative, semi-qualitative, and uncertainty of Real Symmetric Matrices

???? Set symmetric matrix

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The determining factor of the square matrix is represented. The main sub-formula of each order is, then

???? First-order primary subtype:

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Second-order primary subtype:

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Third-order primary sub-type:

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The other order types are the same. The following table lists the definitions and necessary conditions for each matrix.

Name		Definition		Prerequisites
Positive Definite Matrix	Real Symmetric Matrix with feature values greater than zero		All primary and subpatterns of each order are greater than zero, that is
Semi-Definite Matrix	Real Symmetric Matrix with all feature values not less than zero		And
Negative Matrix	Real Symmetric Matrix with feature values less than zero		????
Semi-Negative Matrix	Real Symmetric Matrix with all feature values not greater than zero		And
Indefinite Matrix	Real Symmetric Matrix with feature values greater than zero and smaller than zero		There are two odd-order primary-child types, one of which is positive and the other is negative.

Positive, negative, semi-qualitative, and uncertainty of Real Symmetric Matrices