document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1050772>Question 1050772</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I show proof for this problem?<BR>\n" );
document.write( "If u&#8712;V, then 1u=u<BR>\n" );
document.write( "I have the following:<BR>\n" );
document.write( "Let u= (a1, a2) where a1 and a2 are real numbers.\r<BR>\n" );
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document.write( "1(X)= [a1, a2] by substituting the coordinates in vector form.<BR>\n" );
document.write( "1[a1,a2] = [1a1,1a2] by definition of scalar multiplication'<BR>\n" );
document.write( "[1a1, 1a2] = [a1, a2] by definition of multiplicative identity of real numbers.<BR>\n" );
document.write( "[a1, a2] = X by substitution.\r<BR>\n" );
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document.write( "Can anyone tell me if I did this correctly or if not please help me out.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #666402 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=666402\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> V is a vector space<BR>\n" );
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document.write( "The unitary law of vector space states that, given u an element of V, then 1u is an element of V <BR>\n" );
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document.write( "From the unitary law we know that 1u belongs to V<BR>\n" );
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document.write( "let u = < u1, u2 > where u1 and u2 belong to R, then<BR>\n" );
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document.write( "1 * u = <1u1, 1u2>, from scaler multiplication of a vector<BR>\n" );
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document.write( "From the multiplicative identity property of real numbers, we know that<BR>\n" );
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document.write( "1 * u1 = u1 and<BR>\n" );
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document.write( "1 * u2 = u2<BR>\n" );
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document.write( "therefore<BR>\n" );
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document.write( "1 * u = u<BR>\n" );
document.write( ":\r<BR>\n" );
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