use the approximate operation count 2n^3 /3 for guassian elimination to estimate how much longer it takes to solve n equations in n unknowns if n is tripled

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; ₁³ Or  

O₁ =  ₁³

so if the value of the unknowns is tripled i.e, n₂ = 3n₁,

the appropriate operation count will be;

O₂  =  ₂³

= ³

= × 27 × n₁³

= 27(  ₁³  )

O₂ = 27(O₁)

Therefore, the appropriate operation count is 27 times longer than the original one.

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step-by-step explanation: