X1 ER* satisfying the X3 X2 6. Show that the set of all vectors XA equations 3x1 - 2x2- X3-4x4 = 0 %3D X1 + X2 -2x3 -3x4 = 0 is a subspace of R*. Find a basis for this subspace.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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X1
ER* satisfying the
X3
X2
6. Show that the set of all vectors
XA
equations
3x1 - 2x2-X3-4x4 = 0
X1 + X2 - 2x3-3x4 = 0
%3D
is a subspace of R*. Find a basis for this subspace.
Transcribed Image Text:X1 ER* satisfying the X3 X2 6. Show that the set of all vectors XA equations 3x1 - 2x2-X3-4x4 = 0 X1 + X2 - 2x3-3x4 = 0 %3D is a subspace of R*. Find a basis for this subspace.
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