Question as in the title. I'm thinking that since the positive definite matrices are a subset of the non-negative definite matrices, then one would imply the other, i.e. if $x\in A$ and $A\subset B$ therefore $x \in B$ I'm not sure though?
2026-03-28 22:35:45.1774737345
If a matrix A is non-negative definite, does that imply that A is also positive definite?
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