MTH355: Write down matrix 𝐴 and vector 𝑏, where 𝐴𝑥 = 𝑏. Apply the LU decomposition technique on 𝐴: Basic Mathematical Optimisation Assignment, SUSS

Question 5

Consider the following system of linear equations

(a) Write down matrix 𝐴 and vector 𝑏, where 𝐴𝑥 = 𝑏. Apply the LU decomposition technique on 𝐴. Find the elementary matrices
(b) Based on the 𝐿𝑈 decomposition of 𝐴, solve the system of linear equations.
(c) Use the 𝐿𝑈 decomposition of 𝐴 to find the first column of.

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