DE5spring08

# DE5spring08 - Practice Problems MTH 2201 1 Suppose that the...

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Practice Problems MTH 2201 3/20/2008 1. Suppose that the augmented matrix for a system of linear equations has been reduced by row operations to the given reduced row echelon form. Solve the system. Assume that the variables are named x 1 , x 2 , ..., from left to right. ( i ) 1 0 0 - 3 0 1 0 0 0 0 1 7 ( ii ) 1 0 0 - 7 8 0 1 0 3 2 0 0 1 1 - 5 ( iii ) h 1 2 0 2 - 1 3 i 2. Suppose that the augmented matrix for a system of linear equations has been reduced by row operations to the given row echelon form. Solve the system by reducing the matrix to reduced row echelon form. Assume that the variables are named x 1 , x 2 , ..., from left to right. ( i ) 1 - 3 4 7 0 1 1 2 0 0 1 5 ( ii ) 1 7 - 2 0 - 8 - 3 0 0 1 1 6 5 0 0 0 1 3 9 0 0 0 0 0 0 3. Solve the linear system by Gauss- Jordan elimination: (i) x 1 + x 2 +2 x 3 = 8 - x 1 - 2 x 2 +3 x 3 = 1 3 x 1 - 7 x 2 +4 x 3 = 10 (ii) 3 x 1 + 2 x 2 - x 3 = - 15 5 x 1

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## This note was uploaded on 02/11/2012 for the course MTH 2201 taught by Professor Kigaradze during the Spring '08 term at FIT.

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DE5spring08 - Practice Problems MTH 2201 1 Suppose that the...

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