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Math Help - apply Implicit Function Theorem

  1. #1
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    apply Implicit Function Theorem

    Working problem from textbook. Given that f is continuously differentiable from R^n to R^m and determinant matrix at f(x') is rank m. What is to show is not important because I have difficulty in first step.

    Suggestion says to use Implicit Function Theorem but Implicit Function Theorem refers to function F from R^n X R^m ---> R^m. It seems I must define a F from given premise and then use the theorem but I do not know how to define this F using the premise.
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  2. #2
    Super Member Rebesques's Avatar
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    Identify \mathbb{R}^n with \mathbb{R}^{n-m}\times\mathbb{R}^{m}.
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