how that the given set V is closed under addition and multiplication by scalars and is therefore a subspace of R. is the set of all et a = X ххо X 0 y Z y and b = such that z = 0. u V 0 be two vectors in V. Find their sum a + b. x+u +b= y+v (Simplify your answer.) 0 ne vector sum a + b ddition. ype an integer or a fraction.) ▼an element of the set V because it its third component equal to Therefore, V is closed und

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Show that the given set V is closed under addition and multiplication by scalars and is therefore a subspace of R
of R³.
V is the set of all
Let a =
a+b=
X
X
+++
y
0
and b =
x+u
y+v
0
such that z=0.
u
0
be two vectors in V. Find their sum a + b.
(Simplify your answer.)
The vector sum a + b
addition.
(Type an integer or a fraction.)
an element of the set V because it
its third component equal to
Therefore, V is closed under
Transcribed Image Text:Show that the given set V is closed under addition and multiplication by scalars and is therefore a subspace of R of R³. V is the set of all Let a = a+b= X X +++ y 0 and b = x+u y+v 0 such that z=0. u 0 be two vectors in V. Find their sum a + b. (Simplify your answer.) The vector sum a + b addition. (Type an integer or a fraction.) an element of the set V because it its third component equal to Therefore, V is closed under
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