(a) Show that x + z x-yx, y, z ER [z+y] = is a subspace of R³ by finding vectors V₁, V2, V3 € R³ so that W find a basis for W. (c) what is dim(W)? W = {1 span(v1, v2, v3). Then (b)
(a) Show that x + z x-yx, y, z ER [z+y] = is a subspace of R³ by finding vectors V₁, V2, V3 € R³ so that W find a basis for W. (c) what is dim(W)? W = {1 span(v1, v2, v3). Then (b)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:(a) Show that
W =
{
x + z
X - Y
z+y
: x,y,z ER
=
is a subspace of R³ by finding vectors V₁, V2, V3 € R³ so that W
find a basis for W. (c) what is dim(W)?
span(v₁, V2, V3). Then (b)
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