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Homework answers / question archive / MENG 21200 - Principles of Engineering Analysis II Problem 1 - Methods to solve sets of linear equations Solve the following system of equations using the indicated methods: ?1 + 2?2 + 3?3 − 5?4 = −44 2?1 + 5?2 + 4?3 − ?4 = 8 ?1 − ?2 + 10?3 + 2?4 = 44 3?1 − 2?2 + 5?3 − 3?4 = −16 c) The Gauss-Seidel method with relaxation (? = 0

*MENG 21200 - Principles of Engineering Analysis II *

Solve the following system of equations using the indicated methods:

?_{1 }+ 2?_{2 }+ 3?_{3 }− 5?_{4 }= −44

2?_{1 }+ 5?_{2 }+ 4?_{3 }− ?_{4 }= 8

?_{1 }− ?_{2 }+ 10?_{3 }+ 2?_{4 }= 44

3?_{1 }− 2?_{2 }+ 5?_{3 }− 3?_{4 }= −16

c) The Gauss-Seidel method **with **relaxation (? = 0.95). Plot versus iteration number.

Solve this system of equations in Jupyter Notebook by implementing the following methods from scratch.

3?_{1}?_{2 }+ ?_{2 }− ?_{3 }= 12

?_{1 }− ?^{2}_{1}?_{2 }+ ?_{3 }= 12 ?_{1 }− ?_{2 }− ?_{3 }= −2

- Multi-equation Newton-Raphson method (see Sections 6.6 and 9.6 of C&C).
- The successive substitution method (see Section 6.1 of C&C).

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