1. Systems of Linear Equations and Matrices
Chapter 2
Systems of Linear Equations and Matrices
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2. Solution of Linear Systems by the Echelon Method
2.1
Solution of Linear Systems by the
Echelon Method
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5. Figure 1
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7. Your Turn 1
Solve the system of equations 2x + 3y = 12 (1) 3x − 4y = 1. (2)
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8. 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.
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9. Figure 2
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10. Figure 3
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11. Figure 4
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13. Solution of Linear Systems by the Gauss-Jordan Method
2.2
Solution of Linear Systems by the
Gauss-Jordan Method
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15. Your Turn 1 Use the Gauss-Jordan method to solve the system Solution:
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17. Addition and Subtraction of Matrices
2.3
Addition and Subtraction of Matrices
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21. Your Turn 1 Find each sum, if possible.
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23. Your Turn 2 Calculate Solution:
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24. Multiplication of Matrices
2.4
Multiplication of Matrices
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29. Your Turn 1 Calculate the product AB where
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30. 2.5
Matrix Inverses
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32. (Use the Examples from the textbook)
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