Answered: 33 Use the vectors û = (u. nd v…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.4: The Dot Product

Problem 10E

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Linear Algebra and Its Application

5th Edition

David C. Lay + 2 others

Publisher: PEARSON

ISBN: 9780321982384

I solved problem 33 in section 1.3, and I'm not sure if my solution is a valid proof. Please let me know if my solution is correct or if the problem can be solved similarly. The problem is attached as a picture.

33 Use the vectors û = (u. nd v =(v,..., Vn)
and w=(Wi,ene
fropesties of R.
ニ
Wal to verify the following ayebraic
a)'(ùt)+ = ůt ljtw)
(uigeog (V.y.o Voll+ (Wiyoeglwn)(u,p..
%3D
Un
ųt V,tWiyeeat Va TWn= ,+ V,+ W,,nagunt Vnt Wn
b) clüti)=cůtcŷ for each scalar c

Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.

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33 Use the vectors û = (u. nd v =(v,..., Vn) and w=(Wi,ene fropesties of R. ニ Wal to verify the following ayebraic a)'(ùt)+ = ůt ljtw) (uigeog (V.y.o Voll+ (Wiyoeglwn)(u,p.. %3D Un ųt V,tWiyeeat Va TWn= ,+ V,+ W,,nagunt Vnt Wn b) clüti)=cůtcŷ for each scalar c

Linear Algebra and Its Application