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Class notes & Exercises for linear algebra- 201-NYC $31.02   Add to cart
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Class notes & Exercises for linear algebra- 201-NYC
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  • Course
  • 201-NYC
  • Institution
  • Dawson College ( )

This document is designed to provide you with comprehensive notes and exercise practice for linear algebra. It offers clear explanations, step-by-step examples, and a variety of exercises to reinforce your understanding. Whether you’re a student looking to improve your skills or a professional se...

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  • September 20, 2024
  • 107
  • 2021/2022
  • Class notes
  • Jihane
  • All classes

Subjects

  • practice problem
  • linear algebra
  • correction
  • notes

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  • Dawson College ( )
  • Health Science
  • 201-NYC
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,Linear
Algebra Class 1

1) Solving Linear System Using Gaussian &
Gauss-Jordan Elimination
.


· Linear system is made up of linear
equation .




E
3x +
2y = 7
X
4y = 3
-




·
Find variables X BY that satisfy both
equation .


ASIDE : Linear equation is an
equation
of the form :



92Xz + &gXz +
9 , X, + ...




L
Coefficient ↳ variable

·
common example in R
- I dimension

·

Equation of a line >
- ax +
by =
C


·
In R3
↳ 3 dimension

-a constant
ax +
by + c =

, ·
The
following not linear

X+ have power
y3 3
any
&
=




# ,
+ X +
X - 7 =
0 other than 1
linear
not
equation

A Linear system can
only have 3 possible
·




outcome.

1
Unique Solution

3
.




Consistent
.
2 Infinite # of solution

. No
3 solution inconsistent
>
-
system

·

Example in R2 :

①2x
②[
1 5
E
+ =




3X 0
y
-
=




③

, D

- * (1 3)
,




5x =
5
X = 1
3
y
=




②
2(zX + y 5) =


-
4x +
2y = 5



Yfinite
4x
2y 18
-


+ =




e, Be
are the same


* Infinite solutions we use , parameters

with
parametic solutions we usually
isolate the .
first variable
5 line
Grepresent
2X + same
y
=




4x + 10
2y
=

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