document.write( "Question 21174: Hi..I have one more problem..and I don't even know where to start..\r
\n" ); document.write( "\n" ); document.write( "I'm given..
\n" ); document.write( " A=[0, -1, 0, 4, 0, 2, 8, 1, 7]; B=[2, 1, -3, 4, 1, 6] \r
\n" ); document.write( "\n" ); document.write( " (a) Find 3A-2B\r
\n" ); document.write( "\n" ); document.write( " (b) Find AB\r
\n" ); document.write( "\n" ); document.write( "Please help!
\n" ); document.write( "Cecilia
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Algebra.Com's Answer #11846 by venugopalramana(3286)\"\" \"About 
You can put this solution on YOUR website!
A=[0, -1, 0, 4, 0, 2, 8, 1, 7]; B=[2, 1, -3, 4, 1, 6]
\n" ); document.write( "(a) Find 3A-2B
\n" ); document.write( "(b) Find AB
\n" ); document.write( "3A MEANS MULTIPLY EACH ELEMENT IN A WITH 3...ALSO IN SETS REPETETIVE ELEMENTS DO NOT MATTER AND THEY CAN BE DROPPED.FURTHER,THE SEQUENCE OF PLACING THE ELEMENTS CAN BE CHANGED AS DESIRED.SO
\n" ); document.write( "A=[0,-1,4,2,8,7]..ALSO IT IS A GOOD PRACTICE TO PUT THE ELEMENTS IN SOME ORDER ..SAY INCREASING ORDER..SO WE GET
\n" ); document.write( "A=[-1,0,2,4,7,8]..NOW 3A =[3*-1,3*0,3*2,3*4,3*7,3*8]=[-3,0,6,12,21,24]
\n" ); document.write( "SIMILARLY 2B=[-6,2,4,8,12]
\n" ); document.write( "NOW X-Y MEANS SET OF ALL THOSE ELEMENTS IN A WHICH ARE NOT PRESENT IN Y ..SO
\n" ); document.write( "3A-2B=[-3,0,6,12,21,24]-[-6,2,4,8,12]=[-3,0,6,21,24]..SINCE -3 IS IN 3A BUT NOT IN 2B...ETC..WHERE AS 12 IS IN 3A AND 2B ..HENCE IT IS NOT IN THE ANSWER.NOTE THAT THIS - IS DIFFERENT FROM FROM WE DO IN ARITHMATIC.\r
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\n" ); document.write( "BY AB YOU MEAN AXB I THINK OR CARTESIAN PRODUCT OF 2 SETS.IT IS SET OF ALL POSSIBLE ORDERED PAIRS WITH ELEMENTS OF A AS THE FIRST ELEMENT AND ELEMENTS OF B AS THE SECOND ELEMENT...SO WE GET
\n" ); document.write( "AXB=[-1,0,2,4,7,8]X[-3,1,2,4,6]=[(-1,-3),(-1,1),(-1,2),(-1,4),(-1,6),(0,-3),(0,1),(0,2),(0,4),(0,6),(2,-3)........ETC...YOU CAN COMPLETE I SUPPOSE ....
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