# Worksheet: LU Doolittle's Method

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

Q1:

Find an LU factoring of the matrix

• A
• B
• C
• D
• E

Q2:

Find an LU factoring of the matrix

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• B
• C
• D
• E

Q3:

Find an LU factoring of the matrix

• A
• B
• C
• D
• E

Q4:

Find an LU factoring of the matrix

• A
• B
• C
• D

Q5:

Find an LU factoring of the matrix

• A
• B
• C
• D
• E

Q6:

Find an LU factoring of the matrix

• A
• B
• C
• D
• E

Q7:

Find an LU factoring of the matrix

• A
• B
• C
• D
• E

Q8:

Find an LU factoring of the matrix

• A
• B
• C
• D
• E

Q9:

Find the LU factorization of the coefficient matrix, using Doolittleβs method, and use it to solve the system of equations and .

• A ,
• B ,
• C ,
• D ,
• E ,

Q10:

Consider the equations , , and . Use Doolittleβ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 , ,

Q11:

Consider the following system of equations: Use Doolittleβs method to find an LU factorisation of the coefficient matrix of this system of equations, and hence solve the system.

• A ,
• B ,
• C ,
• D ,
• E ,