Let V will be the vector space over R,L:V→V - linear mapping and v, WEV. Find L(v) and L(w) knowing that a) L(2v+w)=v+w iL(v–w)=3v+2w.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 12E
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Let V will be the vector space over R,L:V→V - linear mapping and v, w EV. Find L(v) and(w)
knowing that
a) L(2v +w)=v+wiL(v-w)=3v+2w.
Transcribed Image Text:Let V will be the vector space over R,L:V→V - linear mapping and v, w EV. Find L(v) and(w) knowing that a) L(2v +w)=v+wiL(v-w)=3v+2w.
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