Let H= [] : 7x² + 8y² ≤1 scalar-to show that H is not a subspace of R2. H is not a subspace of R2 because the two vectors 1 0 √√8 (Use a comma to separate vectors as needed.) H is not a subspace of R2 because the scalar 4 and the vector which represents the set of points on and inside an ellipse in the xy-plane. Find two specific examples-two vectors, and a vector and a 1 0 √7 show that H is not closed under addition. show that H is not closed under scalar multiplication.

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 49E
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ܪܘ
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which represents the set of points on and inside an ellipse in the xy-plane. Find two specific examples-two vectors, and a vector and a
1
0
√7
show that H is not closed under addition.
show that H is not closed under scalar multiplication.
Let H=
0
: 7x² + 8y²
scalar-to show that H is not a subspace of R².
H is not a subspace of R2 because the two vectors
0
(Use a comma to separate vectors as needed.)
H is not a subspace of R2 because the scalar 4 and the vector
√√8
18
Transcribed Image Text:ܪܘ question which represents the set of points on and inside an ellipse in the xy-plane. Find two specific examples-two vectors, and a vector and a 1 0 √7 show that H is not closed under addition. show that H is not closed under scalar multiplication. Let H= 0 : 7x² + 8y² scalar-to show that H is not a subspace of R². H is not a subspace of R2 because the two vectors 0 (Use a comma to separate vectors as needed.) H is not a subspace of R2 because the scalar 4 and the vector √√8 18
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