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Let P be the vector space of all polynomials of degree at most 3 with real coefficients, and let H = {a+bt³|a and b are real.} Which of the followin is/are true? A. {1, 3 is linearly independent in H. B. {1, ³} is a basis for H. C. H is a subspace of P. OA and B only B and C only A only OA and Conly A, B, and C

Let P be the vector space of all polynomials of degree at most 3 with real coefficients, and let H = {a+bt³|a and b are real.} Which of the followin is/are true? A. {1, 3 is linearly independent in H. B. {1, ³} is a basis for H. C. H is a subspace of P. OA and B only B and C only A only OA and Conly A, B, and C

Advanced Engineering Mathematics
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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Let P be the vector space of all polynomials of degree at most 3 with real coefficients, and let H = {a+bt³|a and b are real.} Which of the followin is/are true? A. {1, 3} is linearly independent in H. B. {1, ³} is a basis for H. C. H is a subspace of P. OA and B only B and C only A only OA and Conly A, B, and C
Transcribed Image Text:Let P be the vector space of all polynomials of degree at most 3 with real coefficients, and let H = {a+bt³|a and b are real.} Which of the followin is/are true? A. {1, 3} is linearly independent in H. B. {1, ³} is a basis for H. C. H is a subspace of P. OA and B only B and C only A only OA and Conly A, B, and C
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