Answer to Question #327594 in Linear Algebra for Lucky

Question #327594

determine whether W={(x,y,z)/ x+y+z+1=0, x,y,z element of real number} is a subspace of R^3 or not?

Expert's answer

No, it is not, since "0=(0,0,0)\\notin W: 0+0+0+1\\ne 0"

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