document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=429449>Question 429449</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If A and B are (nxn) matrices such that A is non singular and AB = 0 , then prove that B = 0  . </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #298258 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=298258\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB+=+O ALIGN=MIDDLE  ALT=\"AB+=+O\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5E%28-1%29%2A%28AB%29+=+A%5E%28-1%29%2AO ALIGN=MIDDLE  ALT=\"A%5E%28-1%29%2A%28AB%29+=+A%5E%28-1%29%2AO\"   DISABLED_style= \"max-width:90%; height:auto;\" > since A is nonsingular.\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+O ALIGN=MIDDLE  ALT=\"B+=+O\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the zero matrix, since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5E%28-1%29%2AO+=+O ALIGN=MIDDLE  ALT=\"A%5E%28-1%29%2AO+=+O\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5E%28-1%29A+=+I%5Bn%5D ALIGN=MIDDLE  ALT=\"A%5E%28-1%29A+=+I%5Bn%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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