A system of linear equations with variables r1, 72, 13, T4, and 15 results in the following Reduced Row-Echelon form (RRE form) of the augmentation matrix. [1 -3 0 0 4 0 1 0 2 0 0 0 1 -6 -1 [o 0 0 0 0 3 2 (a) What are the basic variables in this system of linear equations? [2pts] (b) Write the solution set for this system of linear equations as a linear combination of it's basic solutions. [6pts] (c) Is r1 = 13, r2 = 2, 13 = 5, x1 = -7, 15 = -1 a solution to this system of linear equations. Be sure to justify your answer. [4pts]

A system of linear equations with variables r1, 72, 13, T4, and 15 results in the following Reduced Row-Echelon form (RRE form) of the augmentation matrix. [1 -3 0 0 4 0 1 0 2 0 0 0 1 -6 -1 [o 0 0 0 0 3 2 (a) What are the basic variables in this system of linear equations? [2pts] (b) Write the solution set for this system of linear equations as a linear combination of it's basic solutions. [6pts] (c) Is r1 = 13, r2 = 2, 13 = 5, x1 = -7, 15 = -1 a solution to this system of linear equations. Be sure to justify your answer. [4pts]

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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Question

A system of linear equations with variables r1, 12, 13, 14, and 15 results in the following Reduced
Row-Echelon form (RRE form) of the augmentation matrix.
[i -3 0 0 4
3
10 2
2
0 0 1
-6 -1
0 0 0 0 0
(a) What are the basic variables in this system of linear equations? [2pts]
(b) Write the solution set for this system of linear equations as a linear combination of it's basic solutions.
[6pts]
(c) Is r1 = 13, r2 = 2, r3 = 5, x1 = -7, 15 = -1 a solution to this system of linear equations. Be sure
to justify your answer. [4pts]

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