PNG 3140 :CIVL 3140 – Civil Engineering Computational Methods | 2026 Correct Questions And Answers - York University

CIVL 3140 – Civil Engineering
Computational Methods
L05
Linear system of equations
Part 1

Instructor:
Mohammadmehdi Ramezani



LASSONDE SCHOOL OF ENGINEERING // YORK UNIVERSITY LE/CIVL 3140, adapted with modifications from M.M. Krol, 2025 1

, Reminders!
• Assignment 1 is due on Tuesday, June 30, at 12:30 p.m.

• Late assignments are given a penalty of 20% per day




LASSONDE SCHOOL OF ENGINEERING // YORK UNIVERSITY LE/CIVL 3140, adapted with modifications from M.M. Krol, 2025 2

, Last Class

• End of Unit 2:
• Roots of equations:
11m dia
• Newton-Raphson method
• Secant method
• Applications of root-finding in civil
engineering 11m
L


7.5m dia




LASSONDE SCHOOL OF ENGINEERING // YORK UNIVERSITY LE/CIVL 3140, adapted with modifications from M.M. Krol, 2025 3

, Today’s Class

• Unit 3:
• Systems of linear equations
• Introduction
• Matrix review
• Notation
• Matrix operating rules
• Linear equations in matrix form
• Graphical method
• Cramer’s rule
• Elimination of unknowns




LASSONDE SCHOOL OF ENGINEERING // YORK UNIVERSITY LE/CIVL 3140, adapted with modifications from M.M. Krol, 2025 4