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W₂ is yz - plane: W₁ = {(x, y,0): x, y ≤ R} W₂ = {(0, y, z): y, z = R} -n V is not the direct sum of W₁ and W2-

W₂ is yz - plane: W₁ = {(x, y,0): x, y ≤ R} W₂ = {(0, y, z): y, z = R} -n V is not the direct sum of W₁ and W2-

Advanced Engineering Mathematics
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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abstract algebra

Iƒ V = R³, and W₁ is the xy plane and let W₂ is yz - plane: E W₁ = {(x, y, 0): x, y ≤ R} W1 W₂ = {(0, y, z) : y, z = R} 2 then V is not the direct sum of W₁ and W2. 1
Transcribed Image Text:Iƒ V = R³, and W₁ is the xy plane and let W₂ is yz - plane: E W₁ = {(x, y, 0): x, y ≤ R} W1 W₂ = {(0, y, z) : y, z = R} 2 then V is not the direct sum of W₁ and W2. 1
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