document.write( "Question 985378: Write the augmented matrix associated with the system of equations.
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document.write( "2x+y+2z=0
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document.write( "4x+3y-z=1
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document.write( "5x-4y+3z=-41\r
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document.write( "What is the augmented matrix?\r
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document.write( "Thank you. \n" );
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Algebra.Com's Answer #606192 by Edwin McCravy(20060)![]() ![]() You can put this solution on YOUR website! Write the augmented matrix associated with the \n" ); document.write( "system of equations.\r \n" ); document.write( "\n" ); document.write( "2x+y+2z=0 \n" ); document.write( "4x+3y-z=1 \n" ); document.write( "5x-4y+3z=-41 \n" ); document.write( " \r\n" ); document.write( "Line up the like variables on the left,\r\n" ); document.write( "the equal signs and the constant terms \r\n" ); document.write( "on the right like this:\r\n" ); document.write( "\r\n" ); document.write( "2x + y + 2z = 0\r\n" ); document.write( "4x + 3y - z = 1\r\n" ); document.write( "5x - 4y + 3z = -41\r\n" ); document.write( "\r\n" ); document.write( "Put 1 or -1 coefficients where they are understood:\r\n" ); document.write( "\r\n" ); document.write( "2x + 1y + 2z = 0\r\n" ); document.write( "4x + 3y - 1z = 1\r\n" ); document.write( "5x - 4y + 3z = -41\r\n" ); document.write( "\r\n" ); document.write( "Now erase all the variables\r\n" ); document.write( "\r\n" ); document.write( "2 + 1 + 2 = 0\r\n" ); document.write( "4 + 3 - 1 = 1\r\n" ); document.write( "5 - 4 + 3 = -41\r\n" ); document.write( "\r\n" ); document.write( "Place the signs close to the\r\n" ); document.write( "numbers.\r\n" ); document.write( "\r\n" ); document.write( "2 +1 +2 = 0\r\n" ); document.write( "4 +3 -1 = 1\r\n" ); document.write( "5 -4 +3 = -41\r\n" ); document.write( "\r\n" ); document.write( "Erase the + signs:\r\n" ); document.write( "\r\n" ); document.write( "2 1 2 = 0\r\n" ); document.write( "4 3 -1 = 1\r\n" ); document.write( "5 -4 3 = -41\r\n" ); document.write( "\r\n" ); document.write( "Replace the equal signs with\r\n" ); document.write( "a dotted line:\r\n" ); document.write( "\r\n" ); document.write( "2 1 2 | 0\r\n" ); document.write( "4 3 -1 | 1\r\n" ); document.write( "5 -4 3 | -41\r\n" ); document.write( "\r\n" ); document.write( "Now place brackets around the whole \r\n" ); document.write( "thing:\r\n" ); document.write( "\r\n" ); document.write( "æ2 1 2 | 0ö\r\n" ); document.write( "ç4 3 -1 | 1÷\r\n" ); document.write( "è5 -4 3 | -41ø\r\n" ); document.write( "\r\n" ); document.write( "That's the augmented matrix.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |