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1) The space (R²,O,O) is not a vector space where: (x, y) O (z, w) = (x + z + 1, y + w + 1) a O (x, y) = (ax, ay) %3D Write down the axioms that fail to hold.

1) The space (R²,O,O) is not a vector space where: (x, y) O (z, w) = (x + z + 1, y + w + 1) a O (x, y) = (ax, ay) %3D Write down the axioms that fail to hold.

Elementary Linear Algebra (MindTap Course List)
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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1) The space (R²,O,O) is not a vector space where: (x, y) O (z, w) = (x +z + 1, y + w +1) a © (x,y) = (ax, ay) %3D Write down the axioms that fail to hold. 1
Transcribed Image Text:1) The space (R²,O,O) is not a vector space where: (x, y) O (z, w) = (x +z + 1, y + w +1) a © (x,y) = (ax, ay) %3D Write down the axioms that fail to hold. 1
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