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Math Help - Quick question about matrices

  1. #1
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    Quick question about matrices

    If a matrix is positive definite then does this imply that this matrix is non-singular? if so why?
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  2. #2
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    Quote Originally Posted by mbbx5va2 View Post
    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)
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    Quote Originally Posted by mr fantastic View Post
    Quote Originally Posted by mbbx5va2 View Post
    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.
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    Thanks for the replies!
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