document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=160416>Question 160416</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/1602773033/algebrahomeworkh>saxon algebra 2</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A. Create matrix A such that a11=4, a12=6, a21=0, and a22=-1.<BR>\n" );
document.write( "B. What is the additive inverse of A?\r<BR>\n" );
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document.write( "p.s. a11= an a with the 11 written like the opposite of a^11 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #118333 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=118333\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A) Since matrix A is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%28matrix%282%2C2%2Ca%5B11%5D%2Ca%5B12%5D%2Ca%5B21%5D%2Ca%5B22%5D%29%29 ALIGN=MIDDLE  ALT=\"A=%28matrix%282%2C2%2Ca%5B11%5D%2Ca%5B12%5D%2Ca%5B21%5D%2Ca%5B22%5D%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, this means that \r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%28matrix%282%2C2%2C4%2C6%2C0%2C-1%29%29 ALIGN=MIDDLE  ALT=\"A=%28matrix%282%2C2%2C4%2C6%2C0%2C-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "B) The additive inverse of matrix A (let's call matrix B) will have elements that are additive inverses of the elements of matrix A. So the matrix is \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=%28matrix%282%2C2%2C-4%2C-6%2C0%2C1%29%29 ALIGN=MIDDLE  ALT=\"B=%28matrix%282%2C2%2C-4%2C-6%2C0%2C1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Note: simply change the signs of each element in matrix A to get matrix B.\r<BR>\n" );
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document.write( "Notice how <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2BB=%28matrix%282%2C2%2C4%2C6%2C0%2C-1%29%29%2B%28matrix%282%2C2%2C-4%2C-6%2C0%2C1%29%29=%28matrix%282%2C2%2C4%2B%28-4%29%2C6%2B%28-6%29%2C0%2B0%2C-1%2B1%29%29=%28matrix%282%2C2%2C0%2C0%2C0%2C0%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > which is the zero matrix. So this confirms our answer. </SPAN>\n" );
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