document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=177941>Question 177941</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please solve each matriz.. \r<BR>\n" );
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document.write( "1. [3 4] [3]<BR>\n" );
document.write( "[-1 -1]x=[2] \r<BR>\n" );
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document.write( "2. [6 2] [8 1]<BR>\n" );
document.write( "[-1 4]-x [1 3] \r<BR>\n" );
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document.write( "3. x+[1 3 6] [8 1 0]<BR>\n" );
document.write( "[-1 2 1]= [14 3 -1] \r<BR>\n" );
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document.write( "4. [-3 -2] [8 -1]<BR>\n" );
document.write( "[1 1] x=[6 0] \r<BR>\n" );
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document.write( "5. 4x+3 [3 2] [10 8]<BR>\n" );
document.write( "[1 -2]= [5 -2] \r<BR>\n" );
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document.write( "6. 2x=1/4[-6 2]<BR>\n" );
document.write( "[8 -8]<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 #132903 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=132903\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
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document.write( "I will do a few and let you do the rest<BR>\n" );
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document.write( "1. [3 4] [3]<BR>\n" );
document.write( "[-1 -1]x=[2]<BR>\n" );
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document.write( "This is done with the assumption that you know how to multiply,add,and subtract matrices.<BR>\n" );
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document.write( "in this problem we have a 2x2 multiplied by a 2x1 and we of course get a 2x1 answer.<BR>\n" );
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document.write( "lets call our unknown matrix x= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C1%2Ca%2Cb%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C1%2Ca%2Cb%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "so<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C2%2C3%2C4%2C-1%2C-1%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C2%2C3%2C4%2C-1%2C-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C1%2Ca%2Cb%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C1%2Ca%2Cb%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C1%2C3%2C2%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C1%2C3%2C2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "3a-4b=3.....eq 1<BR>\n" );
document.write( "-1a+b=2.....eq 2<BR>\n" );
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document.write( "so now we have a set of linear equations to solve<BR>\n" );
document.write( "multiply eq 2 by 3 and add the two equations together. a terms will be eliminated because 3a-3a=0. We are left with -4b+3b=9<BR>\n" );
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document.write( "-b=9<BR>\n" );
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document.write( "b=-9<BR>\n" );
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document.write( "now plug this value into either eq<BR>\n" );
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document.write( "-1a+(-9))=2--->-a=2+9--->a=-11<BR>\n" );
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document.write( "so x=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C1%2C-11%2C-9%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C1%2C-11%2C-9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( " 3. x+[1 3 6] [8 1 0]<BR>\n" );
document.write( "[-1 2 1]= [14 3 -1] \r<BR>\n" );
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document.write( "lets call x=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C3%2Ca%2Cb%2Cc%2Cd%2Ce%2Cf%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C3%2Ca%2Cb%2Cc%2Cd%2Ce%2Cf%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C3%2Ca%2Cb%2Cc%2Cd%2Ce%2Cf%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C3%2Ca%2Cb%2Cc%2Cd%2Ce%2Cf%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C3%2C1%2C3%2C6%2C-1%2C2%2C1%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C3%2C1%2C3%2C6%2C-1%2C2%2C1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C3%2C8%2C1%2C0%2C14%2C3%2C-1%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C3%2C8%2C1%2C0%2C14%2C3%2C-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "a+1=8--->a=7<BR>\n" );
document.write( "b+3=1--->b=-2<BR>\n" );
document.write( "c+6=0--->c=-6<BR>\n" );
document.write( "d-1=14-->d=15<BR>\n" );
document.write( "e+2=3--->e=1<BR>\n" );
document.write( "f+1=-1-->f=-2<BR>\n" );
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document.write( "x=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C3%2C7%2C-2%2C-6%2C15%2C1%2C-2%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C3%2C7%2C-2%2C-6%2C15%2C1%2C-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "hope that helps you on your way<BR>\n" );
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