16. Let V be the set of vectors (x, y, z) E R³ such that r(y²+ z²) = 0. Is V a subspace of R$? 17. Let V be the set of twice differentiable functions f:R → R such that for all a we have f"(x)+ x² f'(x) – 3f(r) = 0. Is V a subspace of the space of all maps f : R → R?

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 54CR: Let V be an two dimensional subspace of R4 spanned by (0,1,0,1) and (0,2,0,0). Write the vector...
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16. Let V be the set of vectors (x, y, z) E R³ such that r(y²+ z²) = 0. Is V a subspace of R³?
17. Let V be the set of twice differentiable functions ƒ : R → R such that for all a we have
f"(x)+ x² f'(x) – 3f(r) = 0. Is V a subspace of the space of all maps f : R → R?
Transcribed Image Text:16. Let V be the set of vectors (x, y, z) E R³ such that r(y²+ z²) = 0. Is V a subspace of R³? 17. Let V be the set of twice differentiable functions ƒ : R → R such that for all a we have f"(x)+ x² f'(x) – 3f(r) = 0. Is V a subspace of the space of all maps f : R → R?
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