Help needed Linear Algebra Subsets of R4!! Please really desperate here!!
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Help needed Linear Algebra Subsets of R4!! Please really desperate here!!

[From: ] [author: ] [Date: 11-10-07] [Hit: ]
b, c,......
Which two of the following subsets of R4are closed under the usual operation of multiplication by scalars? Give Proof as well


1- {(a, b, c, d)| ab=0}
2- {(a, b, c, d)| a=1 b=0 c+d=1}
3- {(a, b, c, d)| a>0 and b<0}
4- {(a, b, c, d)| a>0 and b>0}
5- {(a, b, c, d)| a+b+c+d=0}

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1 and 5
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