Given the following augmented matrix which represents a linear system, solve the linear system using technology for x1, x2, x3, x4, and z. If there is an infinite number of solutions then express the solutions in terms of z as the parameter. If there isn't a solution, then be sure to put "no solution" in each answer. + X4 X1 + 4x2 + 4x3 3x1 + 13x2 + 12x3 + 3x4 X2 + x3 4x₁ + 17x2 + 15x3 + 5x4 7x₁ +29x2 + 27x3 + 8x4 x1 = x2 = x3 = X4= 2 = T 27 83 +3z = 1 - I 3z 11z = = 16z = 110 25z = 184

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Given the following augmented matrix which represents a linear system, solve the linear system using
technology for x₁, x2,3, x4, and z. If there is an infinite number of solutions then express the solutions in
terms of z as the parameter. If there isn't a solution, then be sure to put "no solution" in each answer.
+4x3 + x4
X1
+ 4x2
3x₁ + 13x2 + 12x3 + 3x4
x2
+ x3
4x117x2
+ 15x3 + 5x4
7x₁ + 29x2 + 27x3 + 8x4
x1 =
x2 =
x3 =
X4=
z =
3z
11z
+ 3z
-
16z
25%
27
= 83
1
110
184
=
=
=
=
Transcribed Image Text:Given the following augmented matrix which represents a linear system, solve the linear system using technology for x₁, x2,3, x4, and z. If there is an infinite number of solutions then express the solutions in terms of z as the parameter. If there isn't a solution, then be sure to put "no solution" in each answer. +4x3 + x4 X1 + 4x2 3x₁ + 13x2 + 12x3 + 3x4 x2 + x3 4x117x2 + 15x3 + 5x4 7x₁ + 29x2 + 27x3 + 8x4 x1 = x2 = x3 = X4= z = 3z 11z + 3z - 16z 25% 27 = 83 1 110 184 = = = =
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