***** : 7x² + 3y² ≤ 1, 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 scalar-to show that H is not a subspace of R². Let H=. H is not a subspace of R2 because the two vectors 2 (Use a comma to separate vectors as needed.) 1 8 0 show that H ** is closed under addition.
***** : 7x² + 3y² ≤ 1, 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 scalar-to show that H is not a subspace of R². Let H=. H is not a subspace of R2 because the two vectors 2 (Use a comma to separate vectors as needed.) 1 8 0 show that H ** is closed under addition.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.2: Vector Spaces
Problem 38E: Determine whether the set R2 with the operations (x1,y1)+(x2,y2)=(x1x2,y1y2) and c(x1,y1)=(cx1,cy1)...
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