If a matrix is positive definite then does this imply that this matrix is non-singular? if so why?
Follow Math Help Forum on Facebook and Google+
Originally Posted by mbbx5va2 If a matrix is positive definite then does this imply that this matrix is non-singular? if so why? Yes. Read this: Topic 4.2: Positive-Definite Matrices (Theorem 4.2.2)
Originally Posted by mr fantastic Originally Posted by mbbx5va2 If a matrix is positive definite then does this imply that this matrix is non-singular? if so why? Yes. Read this: Topic 4.2: Positive-Definite Matrices (Theorem 4.2.2) But be aware that some people use "positive definite" to mean "positive semi-definite", in which case the matrix might be singular.
Thanks for the replies!
View Tag Cloud