Determine the values of k such that the system of linear equations does not have a unique solution. (Enter your answers as a comma-separated list.) x + y + kz = 5 z = 7 z = 9 x + ky + kx + y + k = -2,1, 5
Determine the values of k such that the system of linear equations does not have a unique solution. (Enter your answers as a comma-separated list.) x + y + kz = 5 z = 7 z = 9 x + ky + kx + y + k = -2,1, 5
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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Transcribed Image Text:Find a system of two equations in two variables, x1 and x2, that has the solution set given by the parametric representation x1 = t and x2 = 4t – 5, where t is any real number. (Enter
your answer as a comma-separated list of equations.)
Show that the solutions to the system can also be written as
X1 = +
and x, = t.
X1 =
X2 =
4t - 5
X2 = 4x1
5
|-5
+ X2 = 4x1
5
X2
X1
4
4
5 +1
Let x2 = t, then x1 =
t
Transcribed Image Text:Determine the values of k such that the system of linear equations does not have a unique solution. (Enter your answers as a comma-separated list.)
x + y + kz = 5
z = 7
z = 9
x + ky +
kx +
y +
k = -2,1, 5
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