document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=30983>Question 30983</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321287134/algebrahomeworkh>Linear Algebra and Its Applications, Update</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Let P be the vector space of polynomials in \"t\" with real coefficients. Show that the inner product < f,g > = the integration from -1 to 1 of f(t)g(t)dt defines an inner product on P.\r<BR>\n" );
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document.write( "I went to speak with my professor about this but I am still not sure what the question even means. I understand inner products and integration, and how integration can be used to represent inner products, but this question is giving me blanks. Also, if you find the textbook, is this question like Example 7 on page 434 in Chapter 6 only with different numbers> </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #17733 by </B><A HREF=/tutors/aboutme.mpl?userid=acerX><B>acerX(62)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=acerX><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=17733\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> this question is asking\r<BR>\n" );
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document.write( "(f,g)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=int%28+f%28t%29g%28t%29%2C+dt%2C+1%2C+-1+%29 ALIGN=MIDDLE  ALT=\"int%28+f%28t%29g%28t%29%2C+dt%2C+1%2C+-1+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "this is more of a precalc/calc question because of the integration. </SPAN>\n" );
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