What Is a Matrix Signature and How Is It Determined?

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A matrix signature is defined as an ordered triple of integers representing the counts of positive, negative, and zero entries on the main diagonal of a matrix. The discussion clarifies that "signature matrix" and "matrix signature" are distinct concepts. An example matrix is provided, but the focus is on how to determine the signature rather than the specific matrix itself. The reference to a Wikipedia page is suggested for further reading. Understanding the matrix signature is essential for applications in linear algebra and related fields.
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Hello,
i can't find anywhere,what is and how to find matrix signature. wikipedia tells only, that signature matrix is matrix with +/-1 on diagonal. For example
1 1 1
1 1 1
1 1 0

how to find signature. THank you :-)
 
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lukaszh said:
Hello,
i can't find anywhere,what is and how to find matrix signature. wikipedia tells only, that signature matrix is matrix with +/-1 on diagonal. For example
1 1 1
1 1 1
1 1 0

how to find signature. THank you :-)

Is this what you're looking for?

http://en.wikipedia.org/wiki/Metric_signature#Matrices
 


lukaszh said:
Hello,
i can't find anywhere,what is and how to find matrix signature. wikipedia tells only, that signature matrix is matrix with +/-1 on diagonal. For example
1 1 1
1 1 1
1 1 0

how to find signature. THank you :-)
Grammatically, "signature matrix" and "matrix signature" are two different things!

According to the website jbunniii references, the "signature of a matrix" is an order triple of integers: (the number of positives entries on the main diagonal, the number of negative entries on the main diagonal, the number of 0 entries on the main diagonal).
 

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