V= घ X, xz LX4 :-X₁ + 2x₂ + −X₂ + 4xy=0 and x₁ + 3x₂ -X₂ - 2xy = 0 Show that V is a subspace of Ru Find a basis for V and State dimension Replace your basis in part B with basis for V that consists

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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V=
{[
xz
+3
LX4
:-X₁ + 2x₂ + x₂ + 4xy=0
and
X₁ + 3x₂ -X₂ - 2xy = 0
A Show that V is a subspace of Ru
Be Find a basis for V and state dimension
C. Replace your basis in part Bo
with basis for V that consists
of unit vectors
Transcribed Image Text:V= {[ xz +3 LX4 :-X₁ + 2x₂ + x₂ + 4xy=0 and X₁ + 3x₂ -X₂ - 2xy = 0 A Show that V is a subspace of Ru Be Find a basis for V and state dimension C. Replace your basis in part Bo with basis for V that consists of unit vectors
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