# Lesson Worksheet: LU Decomposition: Doolittle’s Method Mathematics

In this worksheet, we will practice finding the LU decomposition (factorization) of a matrix using Doolittle’s method.

Q1:

Find an LU factoring of the matrix

• A
• B
• C
• D
• E

Q2:

Find an LU factoring of the matrix

• A
• B
• C
• D
• E

Q3:

Find an LU factoring of the matrix

• A
• B
• C
• D

Q4:

Find an LU factoring of the matrix

• A
• B
• C
• D
• E

Q5:

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.

• A,
• B,
• C,
• D,
• E,

Q6:

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

• A,
• B,
• C,
• D,
• E,

Q7:

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.

• A, ,
• B, ,
• C, ,
• D, ,
• E, ,