The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state that there is no solution. 1 2 -3 01 4 -5 00 0 0 x1 = 15 + 11x3 x2 = -5- 4x3 x3 = 0 x1 = 15 + 11x3 x2 = -5-4x3 X3 is free x1 = 5-2x2 + 3x3 x2 = -5-4x3 x3 is free x₁ = 5 - 2x2 + 3x3

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The augmented matrix is given for a system of
equations. If the system is consistent, find the general
solution. Otherwise state that there is no solution.
1 2 3 5
0 1 4-5
00
0 0
x1 = 15 + 11x3
x2 = -5 - 4x3
x3 = 0
x1 = 15 + 11x3
x2 = -5 - 4x3
X3 is free
x1 = 5 -2x2 + 3x3
x2 = -5- 4x3
X3 is free
O
O
x1 = 5 - 2x2 + 3x3
X2 is free
X3 is free
Transcribed Image Text:The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state that there is no solution. 1 2 3 5 0 1 4-5 00 0 0 x1 = 15 + 11x3 x2 = -5 - 4x3 x3 = 0 x1 = 15 + 11x3 x2 = -5 - 4x3 X3 is free x1 = 5 -2x2 + 3x3 x2 = -5- 4x3 X3 is free O O x1 = 5 - 2x2 + 3x3 X2 is free X3 is free
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