Suppose that the solution set of the homogeneous system Ax = 0 is given by the form X1 = -4r +5s, x2 = r -4s, x3 = r, X4 = = Find a vector form of the general solution of Ax = 0. 4 X1 4 X2 = r X3 1 + s 1 X4 X1 X2 = r 1 + s 1 4 X3 X4 4 X1 4 - 4 X2 = r 1 + s 1 X3 1 X4 5 X1 -4 X2 = r 1 + s 1 X3 -4 1 X4

Algebra and Trigonometry (6th Edition)
6th Edition
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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Suppose that the solution set of the homogeneous system Ax = 0 is given by the formulas
X1 = -4r +5s, x2 = r -4s, x3 = r, X4 = S
Find a vector form of the general solution of Ax = 0.
X1
4
4
X2
= r
X3
1
+ s
1
X4
X1
X2
= r
X3
1
+ s
1
4
X4
4
X1
4
5
1
+ s
1
- 4
X2
= r
|
X3
X4
1
X1
5
-4
X2
= r
1
+ s
1
X3
X4
4
1
O It is impossible to find the vector form of the general solution.
Transcribed Image Text:Suppose that the solution set of the homogeneous system Ax = 0 is given by the formulas X1 = -4r +5s, x2 = r -4s, x3 = r, X4 = S Find a vector form of the general solution of Ax = 0. X1 4 4 X2 = r X3 1 + s 1 X4 X1 X2 = r X3 1 + s 1 4 X4 4 X1 4 5 1 + s 1 - 4 X2 = r | X3 X4 1 X1 5 -4 X2 = r 1 + s 1 X3 X4 4 1 O It is impossible to find the vector form of the general solution.
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