document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62112>Question 62112</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0618073639/algebrahomeworkh>Applied College Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Explain how to determine whether (a) two matrices can be: added or substracted and (b) two matrices can be multiplied together. (c) Consider the matrices C and D listed below. Matrix c shows the number of healthy vegetables an average plant will produce in different climate zones. Matrix D shows the average number of seeds produced by a vegetable of each type. Clearly explain how the two matrices can be multiplied together to obtain a product which is meaningful. Describe the meaning of the product. (You do not need to find the product of the matrices.)<BR>\n" );
document.write( "               Zone 3 -  Zone 4 -  Zone 5<BR>\n" );
document.write( "Tomato       145  -    175  -    211<BR>\n" );
document.write( "C = Cucumber  12  -     16  -     28<BR>\n" );
document.write( "Green Pepper  8 -      14   -    24<BR>\n" );
document.write( "                       Tomato -   Cucumber  -  Green Pepper<BR>\n" );
document.write( "D = Average Number  64 -       75    -        49<BR>\n" );
document.write( "    Seeds per vegetable<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #42869 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=42869\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Explain how to determine whether (a) two matrices can be: added or substracted.<BR>\n" );
document.write( "The two must have the same number of rows and same number of columns.<BR>\n" );
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document.write( "(b) two matrices can be multiplied together. <BR>\n" );
document.write( "If you are multiplying AB, B must have the same number of<BR>\n" );
document.write( "rows as A has columns.<BR>\n" );
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document.write( "(c) Consider the matrices C and D listed below. Matrix c shows the number of healthy vegetables an average plant will produce in different climate zones. Matrix D shows the average number of seeds produced by a vegetable of each type. Clearly explain how the two matrices can be multiplied together to obtain a product which is meaningful. Describe the meaning of the product. (You do not need to find the product of the matrices.)<BR>\n" );
document.write( "Zone 3 - Zone 4 - Zone 5<BR>\n" );
document.write( "Tomato 145 - 175 - 211<BR>\n" );
document.write( "C = Cucumber 12 - 16 - 28<BR>\n" );
document.write( "Green Pepper 8 - 14 - 24<BR>\n" );
document.write( "Tomato - Cucumber - Green Pepper<BR>\n" );
document.write( "D = Average Number 64 - 75 - 49<BR>\n" );
document.write( "Seeds per vegetable\r<BR>\n" );
document.write( "\n" );
document.write( "----------------<BR>\n" );
document.write( "Matrix C is 3 x 3 (veggies x zones)<BR>\n" );
document.write( "Matrix D is 1 x 3 (ave # of seeds x veggie)<BR>\n" );
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document.write( "Multiply D times C to get aver # of seeds for these veggies per zone.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );