Worksheet1

Worksheet1 - 4 Determine if the following two systems of...

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Worksheet 1 January 23rd, 2009 1. Solve the system of equations. x 1 - 3 x 2 = 5 - x 1 + x 2 + 5 x 3 = 2 x 2 + x 3 = 0 2. Find the general solutions of the system whose augmented matrix is 1 - 7 0 6 5 0 0 1 - 2 - 3 - 1 7 - 4 2 7 3. Suppose a system of linear equations has a 3 × 5 augmented matrix whose fifth column is a pivot column. Is the system consistent? Why or why not?
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Unformatted text preview: 4. Determine if the following two systems of linear equations are equiva-lent. x 1-x 2 = 4 3 x 1 + x 2 = 8 2 x 1 + x 2 = 5 x 1 + x 2 = 2 5. For what a,b,c are the following two matrices row-equivalent: 2 0 0 a-1 0 b c 3 , 1 1 2-2 0-1 1 3 5 1...
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