Hi, I need help with this problem, please. Thank you! Let S = {1 – x, 2 – 2x} C F(R, R). Consider the following possible proof (blue text) that S is linearlydependent:Suppose that(*)a(1 — г) + b(2 — 2.г) — 0.Since a= -2 and h= 1 is a solution to (*), it follows that S is linearly dependent.Choose the response that best describes the argument above.O S is linearly dependent, but the proof is incorrect because we can't simply assume that a(1 – x) + b(2 – 2x)this statement must be proven.0:O This proof can't be correct because S is linearly independent.O This proof would have correctly shown that S is linearly independent if the writer had written "linearly independent" insteadof "linearly dependent" at the end of the last sentence.S is linearly dependent, but the proof is incorrect because it only gives one specific example of a solution to (*) instead ofgiving a general solution.O This is a correct proof that S is linearly dependent.

Name: Hi, I need help with this problem, please. Thank you! Let S = {1 – x,
Uploaded: 2024-03-20T07:06:27.000Z
Channel: Bartleby
Description: Hi, I need help with this problem, please. Thank you! Let S = {1 – x, 2 – 2x} C F(R, R). Consider the following possible proof (blue text) that S is linearlydependent:Suppose that(*)a(1 — г) + b(2 — 2.г) — 0.Since a= -2 and h= 1 is a solution to (*),