(Moler-Morrison Algorithm) Computing an approximation for
does not require square roots. It can be done as follows:
Test the algorithm on some simple cases such as (x, y) = (3, 4), (−5, 12), and (7,−24). Then write a routine that uses the function f (x, y) for approximating the Euclidean norm of a vector x = (x1, x2, . . . , xn); that is, the nonnegative number 
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