document.write( "Question 662424: Solve System of Equation using Matrix notation\r
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document.write( "(Eq.1) 2x-y+3z = 4
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document.write( "(Eq.2) 3x+2y+z = -1
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document.write( "(Eq.3) -x+3y+2z = 5 \n" );
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Algebra.Com's Answer #412577 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "2 -1 3 4\r\n" ); document.write( "3 2 1 -1\r\n" ); document.write( "-1 3 2 5\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "1 -0.5 1.5 2 0.5*R1\r\n" ); document.write( "3 2 1 -1\r\n" ); document.write( "-1 3 2 5\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "1 -0.5 1.5 2\r\n" ); document.write( "0 3.5 -3.5 -7 R2 - 3*R1\r\n" ); document.write( "-1 3 2 5\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "1 -0.5 1.5 2\r\n" ); document.write( "0 3.5 -3.5 -7\r\n" ); document.write( "0 2.5 3.5 7 R3 + R1\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "1 -0.5 1.5 2\r\n" ); document.write( "0 1 -1 -2 0.285714*R2\r\n" ); document.write( "0 2.5 3.5 7\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "1 -0.5 1.5 2\r\n" ); document.write( "0 1 -1 -2\r\n" ); document.write( "0 0 6 12 R3 - 2.5*R2\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "1 -0.5 1.5 2\r\n" ); document.write( "0 1 -1 -2\r\n" ); document.write( "0 0 1 2 (1/6)*R3\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "The Matrix is now in reduced echelon form (ref) and it is upper triangular\r \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "1 -0.5 1.5 2\r\n" ); document.write( "0 1 0 0 R2 + R3\r\n" ); document.write( "0 0 1 2\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "1 -0.5 0 -1 R1 - 1.5*R3\r\n" ); document.write( "0 1 0 0\r\n" ); document.write( "0 0 1 2\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "1 0 0 -1 R1 + 0.5*R2\r\n" ); document.write( "0 1 0 0\r\n" ); document.write( "0 0 1 2\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "The Matrix is now in reduced row echelon form (rref)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the answers are x = -1, y = 0 and z = 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The answer as an ordered triple is (-1, 0, 2) \n" ); document.write( " |