Recent content by Blue2Sky

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    Undergrad Finding Inverse from Known Linear System

    Sorry. Yes I want \mathbf{A}^{-1} (actually, particular entries in \mathbf{A}^{-1}) . I have A and an x,b pair. My math from earlier (which I know you can't do unless the dyad is complete... but it was my original thinking): \mathbf{x} = \mathbf{A}^{-1}\mathbf{b} Make dyadic product...
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    Undergrad Finding Inverse from Known Linear System

    True. But my situation is that it is a large system. To use Cramer's rule would be expensive. I was wondering if because I have a known transformation (a known X and its corresponding B vector), that there may be something else that could be done. For example, if I write x = A^-1 * b Then...
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    Undergrad Finding Inverse from Known Linear System

    Hello All: Suppose I have a completely known linear system: A*x=b. I know the matrix A, and an x and the associated RHS vector b (and it is non-trivial). Is there some tricky way to directly determine the inverse of A without performing an inversion by typical means (Gauss elimination, LU...