document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1028698>Question 1028698</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How Do I Can show that,if A is a square matrix of order n,then A+A^T is Symmetric matrix? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #643779 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=643779\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Should be easy if you know the properties of transposition.  A square matrix A is symmetric f <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5ET+=+A ALIGN=MIDDLE  ALT=\"A%5ET+=+A\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Now <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28A%2BA%5ET%29%5ET+=+A%5ET+%2B+%28A%5ET%29%5ET+=+A%5ET+%2B+A+=+A+%2B+A%5ET ALIGN=MIDDLE  ALT=\"%28A%2BA%5ET%29%5ET+=+A%5ET+%2B+%28A%5ET%29%5ET+=+A%5ET+%2B+A+=+A+%2B+A%5ET\"   DISABLED_style= \"max-width:90%; height:auto;\" >,\r<BR>\n" );
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document.write( "and therefore the matrix <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+%2B+A%5ET ALIGN=MIDDLE  ALT=\"A+%2B+A%5ET\"   DISABLED_style= \"max-width:90%; height:auto;\" > itself is symmetric.\r<BR>\n" );
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