Classify the following system, whether (a) intersecting, (b) parallel, or (c) coinciding lines 1. 3 x 4 y 1 0 3 x 4 y 2 0 3 x 4 y 1 0 6 x 8 y 2 0

Solve the following systems in three variables: 1. 3 x 4 y z 1 2. x y 2 x 4 y 3z 3 3 x 2 y 2 z 0

________

3 y z 1 x 2 z 7

2.

________

3.

2 x 5 y 1 0 5 x 2 y 2 0 2 x y 1 4 x 2 y 3 x 2 y 1 0 2 x y 1

________

4.

________

5.

________

1 x Solve 1 x

2 3 y 3 2 y

Problem solving Form a system of equations from the problems given below. A) (MIXTURE PROBLEM 1) How many pounds of a 35% salt solution and a 14% salt solution should be combined so that a 50 pounds of a 20% solution is obtained? B) (UNIFORM MOTION) Two motorists start at the same time from two places 128 km apart and drive toward each other. One drives 10kph than the other. If they met after 48 minutes (that is, 4/5 hr), find the average speed of each. C) A dietician is preparing a meal consisting of foods A, B, and C as shown in the table below. Fat Protein Carbohydrate If the meal must provide exactly 24 units of fat, 25 Food A 3 2 4 units of protein, and 21 units of carbohydrate, how Food B 2 3 1 many ounces of each food should be used? Food C 3 3 2...

...The purpose of this project is to solve the game of Light’s Out! by using basic knowledge of Linear algebra including matrix addition, vector spaces, linear combinations, and row reducing to reduced echelon form. |
Lights Out! is an electronic game that was released by Tiger Toys in 1995. It is also now a flash game online. The game consists of a 5x5 grid of lights. When the game stats a set of lights are switched to on randomly or in a pattern. Pressing one...

...Solving systems of linearequations
7.1 Introduction
Let a system of linearequations of the following form:
a11 x1
a21 x1
a12 x2
a22 x2
ai1x1 ai 2 x2
am1 x1 am2 x2
a1n xn
a2 n x n
ain xn
amn xn
b1
b2
bi
bm
(7.1)
be considered, where x1 , x2 , ... , xn are the unknowns, elements aik (i = 1,...

...Sundararajan School of Information Technology Faculty of Information Science and Technology
TR 3923 Elankovan Sundararajan 1
Lecture 3
System of LinearEquations
TR 3923
Elankovan Sundararajan
2
Introduction
• Solving sets of linearequations is the most frequently used numerical procedure when real-world situations are modeled. modeled Linearequations are the basis for...

...MODULE - 1
LinearEquations
Algebra
5
Notes
LINEAREQUATIONS
You have learnt about basic concept of a variable and a constant. You have also learnt
about algebraic exprssions, polynomials and their zeroes. We come across many situations
such as six added to twice a number is 20. To find the number, we have to assume the
number as x and formulate a relationship through which we can find the number. We shall
see that...

...LINEAR ALGEBRA
Paul Dawkins
Linear Algebra
Table of Contents
Preface............................................................................................................................................. ii Outline............................................................................................................................................ iii Systems of Equations and...

...- FILS
Systems of Differential Equations and Models in Physics, Engineering and Economics
Coordinating professor: Valeriu Prepelita
Bucharest,
July, 2010
Table of Contents
1. Importance and uses of differential equations 4
1.1. Creating useful models using differential equations 4
1.2. Real-life uses of differential equations 5
2. Introduction to differential equations 6
2.1. First...

...2012–13 First Semester MATH 1111 Linear Algebra Chapter 1: Matrices and Systems of Equations
Coverage of Chapter 1: Skip Application 3 in Section 1.4. Skip ‘Triangular Factorisation’ in Section 1.5.
A.
Solving Equations
1.
We are all familiar with solving equations. Illustrate how the following equations can be solved, and then raise and answer some theoretical and/or practical questions...

...PARTIAL DIFFERENTIAL EQUATIONS
I YEAR B.Tech
By
Mr. Y. Prabhaker Reddy
Asst. Professor of Mathematics
Guru Nanak Engineering College
Ibrahimpatnam, Hyderabad.
SYLLABUS OF MATHEMATICAL METHODS (as per JNTU Hyderabad)
Name of the Unit
Unit-I
Solution of Linearsystems
Unit-II
Eigen values and
Eigen vectors
Name of the Topic
Matrices and Linearsystem of equations: Elementary row...

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