Mathematics · Linear Algebra
Which of the following sets is a vector space over the field of real numbers &R;?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1V = {(x,y,z) | xy = 0, x,y,z ∈ &R;}
- 2V = {(x,y) | x = 1, x,y ∈ &R;}
- 3V = {(x,y) | x + y = 2, x,y ∈ &R;}
- 4V = {(x,y,z) | x + y + z = 0, x,y,z ∈ &R;}✓
Correct answer
V = {(x,y,z) | x + y + z = 0, x,y,z ∈ &R;}
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