document.write( "Question 1067210: Solve using matrices.
\n" );
document.write( "x – 3y + z = 10
\n" );
document.write( "x + y – 3z = -10
\n" );
document.write( "-3x – y + z = 2 \n" );
document.write( "
Algebra.Com's Answer #682423 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Solve using matrices. \n" ); document.write( "x – 3y + z = 10 \n" ); document.write( "x + y – 3z = -10 \n" ); document.write( "-3x – y + z = 2 \n" ); document.write( "==================== \n" ); document.write( "It is a matrix. Matrix is not a method. \n" ); document.write( "You can use determinants, or Gauss-Jordan, for example. \n" ); document.write( "---- \n" ); document.write( " \r\n" ); document.write( "| 1 -3 1 10|\r\n" ); document.write( "| 1 1 -3 -10|\r\n" ); document.write( "|-3 -1 1 2|\r\n" ); document.write( "\r\n" ); document.write( " \n" ); document.write( "Using Determinants: \n" ); document.write( "-- \n" ); document.write( "Det = 1*(1-3) -(-3)*(1-9) + 1*(-1+3) = -2-24+2 = -24 \n" ); document.write( "--- \n" ); document.write( "x*Det = -3*(-6+10) - 1*(2-10) + 10*(1-3) = -12+8-20 = -24 --> x = 1 \n" ); document.write( "-y*Det = 1*(-6+10) - 1*(2-30) + 10*(1-9) = 4+28-80 = -48 --> y = -2 \n" ); document.write( "z*det = 1*(2-10) - (-3)*(2-30) + 10*(-1+3) = -8-84+20 = -72 --> z = 3 \n" ); document.write( "========= \n" ); document.write( " |