Linear Algebra Fall 2000 test #1



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lower than the average temperature of the other two cities. What was the temperature in each on of the cities? Give the system of linear equations that you use to determine your answer. (10 pt.)




  1. Indicate whether the following statement is true or false. If it is false correct the statement. (4 pt. each)

  1. A linear system which is consistent has a unique solution if and only if all the variables are free.




  1. If there is one row of the coefficient matrix of the form then the linear system associated with the matrix is inconsistent.




  1. The solution set of the linear system with augmented matrix is the same as the solution set of the equation
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