Question: Given the LU factorizations you calculated in Exercise 1.3.22. solve the associated linear systems A x = b where b is the column vector with

Given the LU factorizations you calculated in Exercise 1.3.22. solve the associated linear systems A x = b where b is the column vector with all entries equal to 1.
Exercise 1.3.22
Find the LU factorization of the following matrices:
(a)

(b)

(c)

(d)

(e)

(f)

(g)

Given the LU factorizations you calculated in Exercise 1.3.22. solve

(e)

Can you spot a pattern? Test your conjecture with the 5 Ã— 5 Vandermonde matrix.

0 1 3 112 311 210 002 033 121 120 031 123 0121 1102 0231 1010 2 22 32

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