notes1-1 - 9. Row equivalent matrices 10. Triangular form...

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SECTION 1.1 SYSTEMS OF LINEAR EQUATIONS 3 x 1 - 2 x 2 = 7 x 1 + x 2 = 9 Here are some important terms: 1. Solution 2. Solution set 3. Equivalent systems 4. Consistent system 5. Inconsistent system 6. Coefficient matrix 7. Augmented matrix 8. Elementary row operations Switch two rows Replace a row by the sum of itself and a multiple of another row Multiply a row by a nonzero constant
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Unformatted text preview: 9. Row equivalent matrices 10. Triangular form Solve the following system. x 1-3 x 3 = 1 2 x 1 + 2 x 2 + 9 x 3 =-1 x 2 + 5 x 3 = 1 Determine the value(s) of h such that the matrix below is the augmented matrix of a consistent linear system. " 3 5 2 1 h 1 # HOMEWORK: SECTION 1.1, # 6, 8, 12, 16, 20, 22, 26...
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This note was uploaded on 03/24/2008 for the course M 340L taught by Professor Pavlovic during the Spring '08 term at University of Texas at Austin.

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notes1-1 - 9. Row equivalent matrices 10. Triangular form...

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