document.write( "Question 662746: use the matrix method to solve the system of linear equations: \r
\n" );
document.write( "\n" );
document.write( " x+ y- z= 0
\n" );
document.write( "3x- y+3z=-2
\n" );
document.write( " x+2y-3z=-1\r
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #412494 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "1 1 -1 0\r\n" ); document.write( "3 -1 3 -2\r\n" ); document.write( "1 2 -3 -1\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "1 1 -1 0\r\n" ); document.write( "0 -4 6 -2 R2 - 3R1\r\n" ); document.write( "1 2 -3 -1\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "1 1 -1 0\r\n" ); document.write( "0 -4 6 -2\r\n" ); document.write( "0 1 -2 -1 R3 - R1\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "1 1 -1 0\r\n" ); document.write( "0 1 -1.5 0.5 (1/4)*R2\r\n" ); document.write( "0 1 -2 1\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "1 1 -1 0\r\n" ); document.write( "0 1 -1.5 0.5\r\n" ); document.write( "0 0 -0.5 -1.5 R3 - R2\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "1 1 -1 0\r\n" ); document.write( "0 1 -1.5 0.5\r\n" ); document.write( "0 0 1 3 -2*R3\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "1 1 -1 0\r\n" ); document.write( "0 1 -1.5 0.5\r\n" ); document.write( "0 0 1 3 -2*R3\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "1 1 -1 0\r\n" ); document.write( "0 1 0 5 R2 + 1.5*R3\r\n" ); document.write( "0 0 1 3\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "1 1 0 3 R1 + R3\r\n" ); document.write( "0 1 0 5\r\n" ); document.write( "0 0 1 3\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "1 0 0 -2 R1 - R2\r\n" ); document.write( "0 1 0 5\r\n" ); document.write( "0 0 1 3\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "So x = -2, y = 5 and z = 3 \n" ); document.write( " |