Question # 1: Find the general solution x= X, + X, of the following systems either given in the form Ax = b or Ax = 0. In Ax = k, also write separately the solution of Homogenous system Ax = 0 a. XI - 2x2 - X3 + 3x4 = 0 -2x, + 4x2 + 5x3 - 5x4 = 3 3x1 - 6x2 - 6x + 8x4 = 2

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 90E: Consider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the...
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Question # 1: Find the general solution x = xn + xp of the following systems either given in the form Ax = b or Ax = 0. In Ax = b , also write separately the solution of Homogenous system Ax = 0

Question # 1: Fnd the general solution x= x, + X, of the following systems either given in
the form Ax = b or Ax = 0. In Ax = k, also write separately the solution of Homogenous
system Ax = 0
a.
X1 - 2x2 - x3 + 3x4 = 0
-2x, + 4x2 + 5x3 - 5x4 = 3
3x1 – 6x2 – 6x3 + 8x4 = 2
b.
3x2 -
6x3 + 6x4 + 4.xs = -5
3x - 7x2 + &xz - 5x4 + 8x5 =
9.
3x1 - 9x2 + 12x3 - 9x4 + 6xs = 15
с.
Ax=0 where A is given as
5
2
-6
9
1
-7
4
-8
1
d.
X3
5 -4
-X4
-2
Transcribed Image Text:Question # 1: Fnd the general solution x= x, + X, of the following systems either given in the form Ax = b or Ax = 0. In Ax = k, also write separately the solution of Homogenous system Ax = 0 a. X1 - 2x2 - x3 + 3x4 = 0 -2x, + 4x2 + 5x3 - 5x4 = 3 3x1 – 6x2 – 6x3 + 8x4 = 2 b. 3x2 - 6x3 + 6x4 + 4.xs = -5 3x - 7x2 + &xz - 5x4 + 8x5 = 9. 3x1 - 9x2 + 12x3 - 9x4 + 6xs = 15 с. Ax=0 where A is given as 5 2 -6 9 1 -7 4 -8 1 d. X3 5 -4 -X4 -2
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