Emily-Jane Bray
2021-02-14
Macsen Nixon
Skilled2021-02-15Added 117 answers
Step 1
Denote the interpolating cubic polynomial by
Let's substitute the given points in the equation of the polynomial. The points
First, let's substitute
Let's solve this system using Gauss-Jordan elimination. The augmented matrix of the system is.
Step 2
Multiply the first row by -1.
Add -1 times the first row to the second row, Add -4 times the first row to the third row.
Multiply the second row by
Add -20 times the second row to the third row.
Multiply the third row by
Add -1 times the third row to the first row.
Add 1 times the second row to the first row.
The solution is thus
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