Recent content by Wsaw

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    Are These Vectors Subspaces of R3 and Do They Span the Space?

    There are no other conditions to the vector. Anyway, thanks for your help!
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    Are These Vectors Subspaces of R3 and Do They Span the Space?

    My book says that all the vectors of the form (a,b,0) are not subspaces of R3 which I do not understand why.
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    Are These Vectors Subspaces of R3 and Do They Span the Space?

    Thanks but if u = (a,b,0) v = (c,d,0) then u+v = (a+c, b+d, 0) = w kw = [ka+kc,kb+kd,k0) With that answer, I would say that all the vectors of the form (x,y,0) are subspaces of R3 but my answers book say this is not and that (x,0,0) is.
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    Are These Vectors Subspaces of R3 and Do They Span the Space?

    Homework Statement 1) Determine if a) (a,b,c), where b=a+c b) (a,b,0) are subspaces of R3 and 2) Determine whether the given vectors span R3 a) v1 = (3,1,4) v2 = (2,-3,5) v3 = (5,-2,9) v4 = (1,4,-1) Homework Equations - If u and v are vectors in W, then u + v is in W -...