Hi, I need help with this problem, please. Thank you! Let S = {1, x, x²} C F(R, R). Consider the following possible proof (blue text) that S is linearlyindependent:Suppose that(*)a + bx + cx²0.Since a = 6 = c = 0 is a solution to (*), it follows that S is linearly independent.Choose the response that best describes the argument above.O This is a correct proof that S is linearly independent.S is linearly independent, but the proof is incorrect because we can't just assume that a + br + cr?0; thisstatement must be proven.O This argument would have correctly shown that S is linearly dependent if the writer had written "linearly dependent"instead of "linearly independent" at the end of the last sentence.O This proof can't be correct because S is linearly dependent.O S is linearly independent, but the proof is incorrect because the argument doesn't show that a = b = c= 0 is the onlysolution to (*).

Name: Hi, I need help with this problem, please. Thank you! Let S = {1, x, 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, x²} C F(R, R). Consider the following possible proof (blue text) that S is linearlyindependent:Suppose that(*)a + bx + cx²0.Since a = 6 = c = 0 is a solution to (*), it follows that