Suppose = {V1, V2, ..., Vn} is a set of nonzero vectors, and let x= a1V1 + a2v2 + ... tanvn and also x=b1v1 +b2V2 + ... + bnvn where at least one bi ai. Explain why this means 0C1V1+ C2V2 + ... -for some ci, where at least one ci 0. (Your answer will be graded and scored after the due date) Explain why if there are two solutions {x1, x2, ..., xn} to -x=x1V1 + x2V2 + ...... tanvn then there are infinitely many solutions. (Your answer will be graded and scored after the due date)

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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Suppose = {V1, V2, ..., Vn} is a set of nonzero vectors, and let
x= a1V1 + a2v2 + ...
tanvn
and also
x=b1v1 +b2V2 + ... + bnvn
where at least one bi ai.
Explain why this means
0C1V1+ C2V2 + ...
-for some ci, where at least one ci 0. (Your answer will be graded and scored after the due date)
Transcribed Image Text:Suppose = {V1, V2, ..., Vn} is a set of nonzero vectors, and let x= a1V1 + a2v2 + ... tanvn and also x=b1v1 +b2V2 + ... + bnvn where at least one bi ai. Explain why this means 0C1V1+ C2V2 + ... -for some ci, where at least one ci 0. (Your answer will be graded and scored after the due date)
Explain why if there are two solutions {x1, x2, ..., xn} to
-x=x1V1 + x2V2 +
......
tanvn
then there are infinitely many solutions. (Your answer will be graded and scored after the due date)
Transcribed Image Text:Explain why if there are two solutions {x1, x2, ..., xn} to -x=x1V1 + x2V2 + ...... tanvn then there are infinitely many solutions. (Your answer will be graded and scored after the due date)
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