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# Lecture 5 - ENGR-1100 Introduction to Engineering Analysis...

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ENGR-1100 Introduction to Engineering Analysis Lecture 5 Notes courtesy of: Prof. Yoav Peles

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Important Information! Today we use L.A.S. Textbook! Exam No. 1 covers Lectures 1-5 in Syllabus ! (you will get more information on Exam later)
Lecture outline (Linear Algebra today) Introduction to linear equations Gauss-Jordan elimination method

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Homework Assignment (from L.A.S textbook; due next class) Set 1.1-4 Set 1.2-11 Set 1.2-15
Introduction to system of linear equations a 1 x + a 2 y = b • a 1 x 1 + a 2 x 2 +….+a n x n = b • a 1 x + a 2 y + a 3 z =b x y z

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Which of the following are linear equations? a) x + 3y = 7 b) x 1 - 3x 2 + 5x 3 = cos(10) c) x 1 + sin x 2 = b d) a 1 x 1 2 + a 2 x 2 +….+ a n x n = b Answer: a, b
System of linear equations • A finite set of linear equations in the variables x 1 , x 2 ,.. x n is called a system of linear equations. A sequence of numbers s 1 , s 2 ,.. s n is called a solution of the system if x 1 =s 1 , x 2 =s 2 ,.. x n =s n , is a solution of every equation in the system. For example: 4x 1 - x 2 + 3x 3 = -1 3x 1 + x 2 + 9x 3 = -4 has the solution x 1 = 1, x 2 = 2, x 3 = -1.

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Lecture 5 - ENGR-1100 Introduction to Engineering Analysis...

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