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

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University Singapore University of Social Science (SUSS)
Subject MTH355: Basic Mathematical Optimisation Assignment

Question 5

Consider the following system of linear equations
MTH355: Basic Mathematical Optimisation Assignment

(a) Write down matrix 𝐴 and vector 𝑏, where 𝐴π‘₯ = 𝑏. Apply the LU decomposition technique on 𝐴. Find the elementary matrices
(b) Based on the πΏπ‘ˆ decomposition of 𝐴, solve the system of linear equations.
(c) Use the πΏπ‘ˆ decomposition of 𝐴 to find the first column of.

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