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Let V be a set of vectors in R² with the operations defined as follows: (a,b)+(c,d)=(c-a,b+2d) k(a,b) = (kb,ka) If u and V are in R², determine whether the following axiom hold or fail. k(u+v)= ku+kv

Let V be a set of vectors in R² with the operations defined as follows: (a,b)+(c,d)=(c-a,b+2d) k(a,b) = (kb,ka) If u and V are in R², determine whether the following axiom hold or fail. k(u+v)= ku+kv

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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Let V be a set of vectors in R² with the operations defined as follows: (a,b)+(c,d)=(c-a,b+2d) k(a,b) = (kb,ka) If u and V are in R², determine whether the following axiom hold or fail. k(u+v)=ku+kv
Transcribed Image Text:Let V be a set of vectors in R² with the operations defined as follows: (a,b)+(c,d)=(c-a,b+2d) k(a,b) = (kb,ka) If u and V are in R², determine whether the following axiom hold or fail. k(u+v)=ku+kv
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