5. Using cubic spline interpolation, solve for the following using this set of data: X 2 8 10 a. Find matrix A b. Vector b C. Vector x f(x) 3 7 9

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Please help me solve this with python. Add the code used to solve it. 

The expected output is 

A.

[[ 1. 0. 0. 0.]
[ 3. 12. 3. 0.]
[ 0. 3. 10. 2.]
[ 0. 0. 0. 1.]]

B.

[0.  0.  1.  0.]

C.

[ 0.   -0.027027       0.1081081      0. ]

5. Using cubic spline interpolation, solve for the following using this set of data:
a.
b. Vector b
C. Vector x
ف
X
2
5
8
10
Find matrix A
f(x)
3
5
7
9
Transcribed Image Text:5. Using cubic spline interpolation, solve for the following using this set of data: a. b. Vector b C. Vector x ف X 2 5 8 10 Find matrix A f(x) 3 5 7 9
Expert Solution
Step 1

Given:

A set of data with x and f(x) values as follows: x f(x) 2 3 5 5 8 7 10 9

Task:

Use cubic spline interpolation to find the following: a. Matrix A b. Vector b c. Vector x

Expected Output:

a. Matrix A [[ 1. 0. 0. 0.]

                  [ 3. 12. 3. 0.]

                  [ 0. 3. 10. 2.]

                  [ 0. 0. 0. 1.]]

b. Vector b [0. 0. 1. 0.]

c. Vector x [ 0. -0.027027 0.1081081 0. ]

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