4 -x1   + 2x2  +     3x3               - x5  +  15x6 = 10 -2x1 -  3x2  +   13x3  -  3x4  -  2x5  -   4x6  =  2 -3x1  -   x2  +   16x3  -  3x4  +  2x5  -  9x6  =  -8

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find the solution set of the linear system below. Write the solution as a set of vectors, using a parametric representation, with one parameter for each free variable. Explain how the parametric representations were obtained from the RREF augmented matrix.

          -3x2  +    3x3   -   x4   -   x5  -   10x = -4
-x1   + 2x2  +     3x3               - x5  +  15x6 = 10
-2x1 -  3x2  +   13x3  -  3x -  2x5  -   4x6  =  2
-3x -   x2  +   16x3  -  3x4  +  2x5  -  9x6  =  -8

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