Final Exam

What is a rounding error? Please write a program to show the rounding error occurs.

(Essay / Open Answer)

Here is the linear equations that we want to solve:

\begin{aligned} 3x_1 + 5x_2 - 3x_3 &= 10 \\ 4x_2 + 4x_3 &= -5 \\ 2x_1 - 9x_2 + 6x_3 &= 13 \end{aligned}

Please show the Gauss Elimination method matrix based on the above equation, you do NOT need to solve x1, x2, x3; just show the matrix that we will use to solve the problem.
Write the Python code to solve the system shown above. You can use any one of the methods studied in the book.

(Essay / Open Answer)

Find the linear interpolation at x = 3 based on the data x = [2, 5, 6] and y = [2, 3, 1].

(Essay / Open Answer)

Write a Python code to find an approximated root of the function $f(x) = x^2 + 3x + 1$ , starting with $x=10$

(Essay / Open Answer)

Find all 2-item-set association rules on the following figure based on:

(Show ALL required steps)

T1: BDE T2: ABD T3: BC T4: ABD T5: ABCD

(Essay / Open Answer)