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E Let F= {(x, y, z) € 1R²³ | x+y+z=0} and 6 = {(a-b₁ a+b₁a-3b) | ab ER} a) Show that Fond 6 ore subspaces of IR³

E Let F= {(x, y, z) € 1R²³ | x+y+z=0} and 6 = {(a-b₁ a+b₁a-3b) | ab ER} a) Show that Fond 6 ore subspaces of IR³

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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2.15
2.15) Let F= {(x, y, z) € IR²³ | x+y+z=0} and 6 = {ca-b₁ a+b₁a-3b) | a₁bEIR} a.) Show that Fond G subspaces of IR3
Transcribed Image Text:2.15) Let F= {(x, y, z) € IR²³ | x+y+z=0} and 6 = {ca-b₁ a+b₁a-3b) | a₁bEIR} a.) Show that Fond G subspaces of IR3
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