Exercise 5. Give, for each of the following sets, a reason why it is not a vector subspace. 1. E = {(x, y, 2) E R/a+ y+32 = 2}. 2. F = {(r, y) E R² / xy = 0}. 3. G = {(x, y) € R²/ y = a?}. %3D %3D %3D

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Exercise 5.
subspace.
Give, for each of the following sets, a reason why it is not a vector
1. E = {(x, y, 2) E R/a+ y+32 = 2}.
2. F = {(x, y) E R² / xy = 0}.
3. G = {(x, y) E R²/y = 2?}.
%3D
%3D
%3D
Transcribed Image Text:Exercise 5. subspace. Give, for each of the following sets, a reason why it is not a vector 1. E = {(x, y, 2) E R/a+ y+32 = 2}. 2. F = {(x, y) E R² / xy = 0}. 3. G = {(x, y) E R²/y = 2?}. %3D %3D %3D
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