Lesson: LU Decomposition: Doolittle’s Method

Mathematics

In this lesson, we will learn how to find the LU decomposition (factorization) of a matrix using Doolittle’s method.

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Worksheet

Q1:

Find the LU factorization of the coefficient matrix, using Doolittle’s method, and use it to solve the system of equations and .

Q2:

Consider the equations , , and . Use Doolittle’s method to find an LU factorization of the coefficient matrix of this system of equations, and hence solve the system.

Q3:

Consider the following system of equations: Use Doolittle’s method to find an LU factorization of the coefficient matrix of this system of equations, and hence solve the system.

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