document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=94333>Question 94333</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Given A = <BR>\n" );
document.write( "3 -2 0<BR>\n" );
document.write( "1 4 2<BR>\n" );
document.write( "-1 5 -3 <BR>\n" );
document.write( "find -3A. <BR>\n" );
document.write( "Thank you for your help \r<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 #68738 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=68738\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When you multiply a scalar value (any single number) by a matrix, you simply multiply that scalar value by every matrix entry.<BR>\n" );
document.write( "So if you have the matrix\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C3%2C3%2C-2%2C0%2C1%2C4%2C2%2C-1%2C5%2C-3%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%283%2C3%2C3%2C-2%2C0%2C1%2C4%2C2%2C-1%2C5%2C-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and you want to multiply that matrix by the scalar value of -3, then you simply multiply -3 by every matrix entry like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C3%2C3%2A-3%2C-2%2A-3%2C0%2A-3%2C1%2A-3%2C4%2A-3%2C2%2A-3%2C-1%2A-3%2C5%2A-3%2C-3%2A-3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "which then comes to be \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C3%2C-9%2C6%2C0%2C-3%2C-12%2C-6%2C3%2C-15%2C9%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%283%2C3%2C-9%2C6%2C0%2C-3%2C-12%2C-6%2C3%2C-15%2C9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%28matrix%283%2C3%2C3%2C-2%2C0%2C1%2C4%2C2%2C-1%2C5%2C-3%29%29 ALIGN=MIDDLE  ALT=\"A=%28matrix%283%2C3%2C3%2C-2%2C0%2C1%2C4%2C2%2C-1%2C5%2C-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, \r<BR>\n" );
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document.write( "then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3A=%28matrix%283%2C3%2C-9%2C6%2C0%2C-3%2C-12%2C-6%2C3%2C-15%2C9%29%29 ALIGN=MIDDLE  ALT=\"-3A=%28matrix%283%2C3%2C-9%2C6%2C0%2C-3%2C-12%2C-6%2C3%2C-15%2C9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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