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Jacobian Matrix

  • Definition: Given a set y=f(x) of n equations in n variables x_1, ..., x_n, written explicitly as y=[f_1(x); f_2(x);...; f_n(x)], the Jacobian matrix, is defined by J(x_1,...,x_n)=[(partial y_1)/(partial x_1) ... (partial y_1)/(partial x_n); ... ; (partial y_n)/(partial x_1) ... (partial y_n)/(partial x_n)].


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