giving a specific example that violates the test for aSubsets That Are Not Subspaces In Exercises 7–20,W is not a subspace of the vector space. Verify this bycving a specific example that violates the test for avector subspace (Theorem 4.5). Ci all nonnegative functions12. W is the set of all linear functions ax + b, a + 0, inC(-∞, 0).13, W in tlnonts are

Zero is not in the subset W, see the step 2

Answered: 12. W is the set of all linear…

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12. W is the set of all linear functions ax + b, a # 0, in C(-o, al

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.3: Subspaces Of Vector Spaces

Problem 18E

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Question

giving a specific example that violates the test for a
Subsets That Are Not Subspaces In Exercises 7–20,
W is not a subspace of the vector space. Verify this by
cving a specific example that violates the test for a
vector subspace (Theorem 4.5).

Ci all nonnegative functions
12. W is the set of all linear functions ax + b, a + 0, in
C(-∞, 0).
13, W in tl
nonts are

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