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 & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 11E
Question
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)
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning