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Transcript 
Chapter 2
Systems of Linear
Equations and Matrices
Copyright © 2012 Pearson Education, Inc. All rights reserved
2.1
Solution of Linear
Systems by the
Echelon Method
Copyright © 2012 Pearson Education, Inc. All rights reserved
2- 3
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2- 4
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Figure 1
2- 5
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2- 6
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Your Turn 1
Solve the system of equations
2- 7
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2x + 3y = 12
3x − 4y = 1.
(1)
(2)
Your Turn 2
A flight leaves New York at 8 P.M. and arrives in Paris at 12
Noon (Paris time). This 16-hour difference includes the flight
time plus the change in time zones. The return flight leaves
Paris at 1 P.M. and arrives in New York at 3 P.M. (New York
time). This 2-hour difference includes the flight time minus
time zones and no wind. Find the actual flight time eastward
and the difference in time zones.
2- 8
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Figure 2
2- 9
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Figure 3
2 - 10
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Figure 4
2 - 11
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2 - 12
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2.2
Solution of Linear
Systems by the
Gauss-Jordan Method
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2 - 14
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Your Turn 1
Use the Gauss-Jordan method to solve the system
Solution: 4 x  5 y  10
7 x  8 y  19.
2 - 15
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(1)
(2)
2 - 16
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2.3
Addition and
Subtraction of Matrices
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2 - 18
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2 - 19
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2 - 20
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Your Turn 1
Find each sum, if possible.
3 4 5 6   1 2 4 
(a) 



1
2
3
4

2

4
8

 

3 4 5  1 2 4 
(b) 



1
2
3

2

4
8

 

2 - 21
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2 - 22
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Your Turn 2
Calculate
3 4 5  1 2 4 
1 2 3   2 4 8  .

 

Solution:
2 - 23
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2.4
Multiplication of
Matrices
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2 - 25
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2 - 26
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2 - 27
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2 - 28
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Your Turn 1
Calculate the product AB where
3 4 
 1 2 
A= 
and B  
.


1 2 
 2 4 
2 - 29
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2.5
Matrix Inverses
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2 - 31
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
2 - 32
(Use the Examples from the textbook)
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