What is a Positive Definite Matrix?
Its geometric explanation helps us understand it intuitively.
Published in
4 min readJan 4, 2019
A positive definite matrix is defined as a symmetric matrix whose every eigenvalue is positive.
Alright, but you might be wondering, “Why did we define such a thing? Is it useful in some way? Why does the sign of the eigenvalues matter?”
Here’s a piece of Wikipedia’s explanation of what a positive-definite matrix is:
