Find the solution vectors u and v such thất tne solution space is the set of all linear combinations of the form su + tv. X1 - 2 x2 + X3 - X4 = 0 X1 +2 x2 + X3 +11 x4 = 0 %3D X1 + X2 + X3 +8 x4 = 0 %3D The solution vectors are u = and v = such that x = su + tv, X3 = s and x4 = t, where s and t are real numbers.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 21EQ
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Find the solution vectors u and v such that the solution space is the set of all linear combinations of the form su + tv
X1 - 2 x2 + X3 - X4 = 0
X1 +2 x2 + X3 + 11 X4 = 0
X1 + X2 +X3 +8 x4 = 0
The solution vectors are u =
and v =
such that x = su + tv, X3 =s and x4 =t, where s and t are real numbers.
Transcribed Image Text:Find the solution vectors u and v such that the solution space is the set of all linear combinations of the form su + tv X1 - 2 x2 + X3 - X4 = 0 X1 +2 x2 + X3 + 11 X4 = 0 X1 + X2 +X3 +8 x4 = 0 The solution vectors are u = and v = such that x = su + tv, X3 =s and x4 =t, where s and t are real numbers.
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