document.write( "Question 1182432: Let V=R^3 and let W={(x, y, z) ∈ R^3| x=3y}\r
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Algebra.Com's Answer #812441 by ikleyn(52778) $\"\"$ $\"About$

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document.write( "Yes, W is a subspace in R^3.\r\n" );
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document.write( "You can easily check it on your own, that all axioms of a subspace are held.\r\n" );
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document.write( "It is a standard routine check (nothing special or interesting).\r\n" );
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document.write( "W is a subspace of the dimension 2 in R^3  (since one and only one linear equation determines this subspace).\r\n" );
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document.write( "Its basis are these two vectors of R^3 \r\n" );
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document.write( "     (3,1,0)  and  (0,0,1).\r\n" );
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\n" ); document.write( "\n" ); document.write( "What university are you from and what is your Algebra textbook / the problems book ?\r
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