Answer:
the appropriate operation count is 27 times longer than the original one.
Step-by-step explanation:
Given the data in the question;
let us consider the approximate operation count for the system of n₁ equation in n₁ unknowns as; [tex]\frac{2}{3}n[/tex]₁³ Or
O₁ = [tex]\frac{2}{3}n[/tex]₁³
so if the value of the unknowns is tripled i.e, n₂ = 3n₁,
the appropriate operation count will be;
O₂ = [tex]\frac{2}{3}n[/tex]₂³
= [tex]\frac{2}{3}(3n_{1})[/tex]³
= [tex]\frac{2}{3}[/tex] × 27 × n₁³
= 27( [tex]\frac{2}{3}n[/tex]₁³ )
O₂ = 27(O₁)
Therefore, the appropriate operation count is 27 times longer than the original one.
