document.write( "Question 1201634: Solve the given linear system by Gauss-Jordan reduction.
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document.write( "2x-y+z=3
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document.write( "x-3y+z=4
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document.write( "-5x -2z=3
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Algebra.Com's Answer #836095 by ikleyn(52790)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Solve the given linear system by Gauss-Jordan reduction. \n" ); document.write( "2x-y+z=3 \n" ); document.write( "x-3y+z=4 \n" ); document.write( "-5x -2z=3 \n" ); document.write( "~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Your matrix\r\n" ); document.write( "\r\n" ); document.write( " X1 X2 X3 b\r\n" ); document.write( "1 2 -1 1 3\r\n" ); document.write( "2 1 -3 1 4\r\n" ); document.write( "3 -5 0 -2 3\r\n" ); document.write( "\r\n" ); document.write( "Find the pivot in the 1st column and swap the 2nd and the 1st rows\r\n" ); document.write( "\r\n" ); document.write( " X1 X2 X3 b\r\n" ); document.write( "1 1 -3 1 4\r\n" ); document.write( "2 2 -1 1 3\r\n" ); document.write( "3 -5 0 -2 3\r\n" ); document.write( "\r\n" ); document.write( "Eliminate the 1st column\r\n" ); document.write( "\r\n" ); document.write( " X1 X2 X3 b\r\n" ); document.write( "1 1 -3 1 4\r\n" ); document.write( "2 0 5 -1 -5\r\n" ); document.write( "3 0 -15 3 23\r\n" ); document.write( "\r\n" ); document.write( "Make the pivot in the 2nd column by dividing the 2nd row by 5\r\n" ); document.write( "\r\n" ); document.write( " X1 X2 X3 b\r\n" ); document.write( "1 1 -3 1 4\r\n" ); document.write( "2 0 1 -1/5 -1\r\n" ); document.write( "3 0 -15 3 23\r\n" ); document.write( "\r\n" ); document.write( "Eliminate the 2nd column\r\n" ); document.write( "\r\n" ); document.write( "X1 X2 X3 b\r\n" ); document.write( "1 1 0 2/5 1\r\n" ); document.write( "2 0 1 -1/5 -1\r\n" ); document.write( "3 0 0 0 8\r\n" ); document.write( "\r\n" ); document.write( "Solution set:\r\n" ); document.write( "\r\n" ); document.write( "The system is inconsistent.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "----------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solved, answered and explained.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Thanks to the free of charge online calculator https://matrix.reshish.com \r \n" ); document.write( "\n" ); document.write( "which did this job for me (and for you).\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |