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

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.CR: Review Exercises

Problem 78CR: Let v1, v2, and v3 be three linearly independent vectors in a vector space V. Is the set...

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