[20] Q3: Arithmetic operations in Matlab are subject to roundoff errors. Write a Matlab code that demonstrates this behavior by summing the same number "a" multiple times and compares the result with respect to the "true" sum.
Roundoff Error =|1-(\sum_(i=1)^n a)|, where a=(1)/(n)
Run your Matlab script for the
n
values given in the list below. Fill in the table and plot
n
vs. roundoff error. \table[[
n
,Absolute Roundoff Error],[
1e4
,],[
1e5
,],[
1e6
,]]

Question

[20] Q3: Arithmetic operations in Matlab are subject to roundoff errors. Write a Matlab code that demonstrates this behavior by summing the same number "a" multiple times and compares the result with respect to the "true" sum.

Roundoff Error =|1-(\sum_(i=1)^n a)|, where a=(1)/(n)

Run your Matlab script for the

n

values given in the list below. Fill in the table and plot

n

vs. roundoff error. \table[[

n

,Absolute Roundoff Error],[

1e4

,],[

1e5

,],[

1e6

,]]

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