Which of the following are subspace of its (indicated) ambient space? a=20} =1} = { [2₁] =R² : 2₁ 20, 22 ≥ 0} H= = Y = W £1 €2 (C) € R² : £1 = 2x2 € R² : £1 – 2x2 - J = {p(t) = P3: p(1)=0} K = {p(t) € P3: p' (0) = 0}

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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Which of the following are subspace of its (indicated) ambient space?
22}
H =
Y =
I
W
#2
€ R² : 21
2x2
21
X2
{ [21] =
I2
J = {p(t) € P3 : p(1) = 0}
K = {p(t) € P3 : p′ (0) = 0}
€ R² : ₁ - 20₂2 = 1}
21
,2²2 ≥ 0}
ER²: 1 ≥ 0, #2
Transcribed Image Text:Which of the following are subspace of its (indicated) ambient space? 22} H = Y = I W #2 € R² : 21 2x2 21 X2 { [21] = I2 J = {p(t) € P3 : p(1) = 0} K = {p(t) € P3 : p′ (0) = 0} € R² : ₁ - 20₂2 = 1} 21 ,2²2 ≥ 0} ER²: 1 ≥ 0, #2
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