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Statement of a problem № m822

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Regard an n x n matrix as a point in the -fold product Rn x . x Rn by considering each row as a member of Rn.. a. Prove that det : Rn x . x Rn -> Rn is differentiable and b. If aij : R ->R are differentiable and f(t) = det (aij(t)), , show that




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