a= b= C= id=
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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Question
Transcribed Image Text:Let V be the set of all ordered pairs of real numbers with addition and scalar multiplication
and v=
and v= (v₁,v₂) inv
operations defined as follows on V: for u= (₁.₂)
=(₁,4₁₂)
u + v = (u ₁₁ u ₂ ) + ( v₁, v ₂) = (u ₁+ v₁ + 2,u₂+ v₂ − ¹)
and
ku=k(u,,u₂) = (ku,+2k-2,ku ₂-k+1).
This forms a vector space.
Complete the following:
2(1,-1)+(2,3) = (a,b)
The zero vector,0= (c,d)
3=
b=
CF
d=
s
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