Ques2) Prove that if S = {v1, v2, v3} is a linearly dependent set of vectors in a vector space V, and V4 is any vector in V that is not in S, then {v1, v2, v3, v4} is also linearly dependent.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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In August 2013, E*TRADE Financial was offering only 0.05% interest on its online checking
accounts, with interest reinvested monthly. Find the associated exponential model for the
value of a $5000 deposit after "t" years. Assuming that this rate of return continued for 7
years, how much would a deposit of $5000 in August 2013 be worth in August 2020?
(Answer to the nearest $1.)
Transcribed Image Text:In August 2013, E*TRADE Financial was offering only 0.05% interest on its online checking accounts, with interest reinvested monthly. Find the associated exponential model for the value of a $5000 deposit after "t" years. Assuming that this rate of return continued for 7 years, how much would a deposit of $5000 in August 2013 be worth in August 2020? (Answer to the nearest $1.)
Ques2)
Prove that if S= {v1, v2, v3} is a linearly dependent set of vectors in a vector space V, and
V4 is any vector in V that is not in S, then {v1, v2, v3, v4} is also linearly dependent.
Transcribed Image Text:Ques2) Prove that if S= {v1, v2, v3} is a linearly dependent set of vectors in a vector space V, and V4 is any vector in V that is not in S, then {v1, v2, v3, v4} is also linearly dependent.
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