Chapter #1: Systems of linear Equations
1.2: Gaussian Elimination & Gauss-Jordan Elimination
DEFINITION OF A
MATRIX:
If m & n are positive integers, then an m x n matrix is a rectangular array
in which each entry , of the matrix is a #. An mxn matrix (rea
CLASS NOTES=
CHAPTER'H SUSTEMS OF LINEAR EQUATIONS
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2.012.
1-1 =INTRO TD SUCTEMS or- LINEAR EQUATIONS
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HEAR Example: 5X-3'5='=i-
EQUATIQN: Variables are min-a 1. 1" Pawn.
In neral: .~.
anay: ,axt . . . 9 an X" cmshn'I +cnn
an all rea
Chapter 1: Systems of Linear Equations
1.1 Intro. To Systems of Linear Equations
1. Linear Equations in n Variables:
Equation of a line in 2D:
A linear equation in 2 variables x & y
Equation of a plane in 3D:
A linear equation in 3 variables x, y, z
De
Chapter 1: Systems of Linear Equations
1.3: Applications of Systems of Linear Equations
I: Polynomial Curve Fitting:
Polynomial Curve Fitting:
a collection of data is represented by n points in the xy-plane,
and are asked to nd a polynomial fraction of d
Chapter 1: Systems of Linear Equations
1.3: Applications of Systems of Linear Equations
CLASS NOTES
I: Application: Polynomial Curve Fitting:
Restriction: No point lies directly above another (is not a function of x)
Example 1:
Determine the polynomial of