document.write( "Question 607723: write the system as a matirx\r
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document.write( "x-3y+2z=-21
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document.write( "y-2z=12
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document.write( "z=2\r
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document.write( "solve the system by gauss- jordan elimintaion \n" );
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Algebra.Com's Answer #382870 by jim_thompson5910(35256) ![]() You can put this solution on YOUR website! \r\n" ); document.write( "x-3y+2z=-21\r\n" ); document.write( " y-2z=12\r\n" ); document.write( " z=2 \r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Convert to matrix form:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 1 -3 2 -21 \r\n" ); document.write( " 0 1 -2 12 \r\n" ); document.write( " 0 0 1 2 \r\n" ); document.write( "\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now add 2 times the 3rd row to the 2nd row (and replace the second row with this result)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 1 -3 2 -21 \r\n" ); document.write( " 0 1 0 16 \r\n" ); document.write( " 0 0 1 2 \r\n" ); document.write( "\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then add -2 times the 3rd row to the 1st row (and replace the first row with this result)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( " 1 -3 0 -25 \r\n" ); document.write( " 0 1 0 16 \r\n" ); document.write( " 0 0 1 2 \r\n" ); document.write( "\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Finally, add 3 times the 2nd row to the 1st row (and replace the first row with this result)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( " 1 0 0 23 \r\n" ); document.write( " 0 1 0 16 \r\n" ); document.write( " 0 0 1 2 \r\n" ); document.write( "\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The right hand column represents the solutions. So the solutions are x = 23, y = 16 and z = 2 \n" ); document.write( " |