Consider the vectors from R 1 1 v, = 2 V2 a V3= 4 %3D 5 a) Create the system which correspond to the equation x,v, +x2V2+X3V3=0, where x1, X2, X3 are some real numbers. b) Determine the conditions on the scalars a, b ER by using the system created in part a, so that the set S = {v,, V2 V3} is linearly dependent.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Consider the vectors from R
1
1
v, = 2
V2
a
V3=
4
%3D
b
a) Create the system which correspond to the
equation x,v,+X2V2+X3V3=0, where x,, X2, X3
are some real numbers.
b) Determine the conditions on the scalars
a, b ER by using the system created in part a, so
that the set S = {v,, V2 V3} is linearly dependent.
Transcribed Image Text:Consider the vectors from R 1 1 v, = 2 V2 a V3= 4 %3D b a) Create the system which correspond to the equation x,v,+X2V2+X3V3=0, where x,, X2, X3 are some real numbers. b) Determine the conditions on the scalars a, b ER by using the system created in part a, so that the set S = {v,, V2 V3} is linearly dependent.
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