Which of the following is not a subspace of AW₂ = {(a,b,c,d)|a+b+c+d=1} BW₁ = {(a, a, b, b) | a, b = R} CW₂ = {(a, b, c, d) | a = b, c =d} DW₁ = {(a + b, a, b, 0)| a, b < R}

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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AW₂ =
Which of the following is not a subspace of R¹?
{(a,b,c,d)|a+b+c+d=1}
BW₁ = {(a, a, b, b) | a, b = R}
CW₂ = {(a, b, c, d) | a = b, c =d}
DW₁ = {(a + b, a, b, 0) | a, b = R}
Transcribed Image Text:AW₂ = Which of the following is not a subspace of R¹? {(a,b,c,d)|a+b+c+d=1} BW₁ = {(a, a, b, b) | a, b = R} CW₂ = {(a, b, c, d) | a = b, c =d} DW₁ = {(a + b, a, b, 0) | a, b = R}
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