Rules for positive definite matrix. What are they? My text book explains them in a very...

Rules for positive definite matrix.

What are they? My text book explains them in a very confusing way.

Also:

"A matrix A is said to be positive definite if it is symmetric and if and only if each of its leading principal sub matrices has a positive determinate"

How do I get the leading principal sub matrices?

Expert Solution

I think if you read what I have explained this then you will understand every thing about positive definite matrices. And all about principal sub matrices. Any problem please comment.

Colby Messinger answered 2 years ago

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a) Show that if A is a real, non-singular nxn matrix, then A.(A^T) is positive definite....

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