document.write( "Question 1201634: 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
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Algebra.Com's Answer #836095 by ikleyn(52790)\"\" \"About 
You can put this solution on YOUR website!
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\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
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document.write( "Your matrix\r\n" );
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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" );
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document.write( "Find the pivot in the 1st column and swap the 2nd and the 1st rows\r\n" );
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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" );
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document.write( "Eliminate the 1st column\r\n" );
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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" );
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document.write( "Make the pivot in the 2nd column by dividing the 2nd row by 5\r\n" );
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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" );
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document.write( "Eliminate the 2nd column\r\n" );
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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" );
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document.write( "Solution set:\r\n" );
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document.write( "The system is inconsistent.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved, answered and explained.\r
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\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
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