Problem 47003. Combine complex conjugates first when computing the product of vector

Analytically, the product of complex conjugates yields a real result. When numerically computing the product of a vector containing large valued complex conjugates, care must be taken to ensure that the terms are first multiplied with their conjugate to ensure that the result is real.
For example:
v = [ -376565273.869706 + 0i
-3419197614.44981 + 1946408802.27484i
-3419197614.44981 - 1946408802.27484i
-3789372834.14304 + 4660481826.64665i
-3789372834.14304 - 4660481826.64665i
-4853975182.33591 + 6452212202.13479i
-4853975182.33591 - 6452212202.13479i];
prod(v) = -1.37103891526544e+67 + 2.24486651494027e+51i
Combine the vector's terms together in such a way that the product is real.
Solve

Solution Stats

20.45% Correct | 79.55% Incorrect
Last Solution submitted on Jul 14, 2023

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