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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![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]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F85346d8e-a543-42db-b008-9fe5a873d3b5%2Ff379240e-9f23-4e9e-b189-bb43a8ed85a8%2Fw4329j_processed.png&w=3840&q=75)
Transcribed Image Text: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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