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
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Algebra.Com's Answer #682423 by Alan3354(69443)\"\" \"About 
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Solve using matrices.
\n" ); document.write( "x – 3y + z = 10
\n" ); document.write( "x + y – 3z = -10
\n" ); document.write( "-3x – y + z = 2
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\n" ); document.write( "It is a matrix. Matrix is not a method.
\n" ); document.write( "You can use determinants, or Gauss-Jordan, for example.
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document.write( "| 1  -3   1   10|\r\n" );
document.write( "| 1   1  -3  -10|\r\n" );
document.write( "|-3  -1   1    2|\r\n" );
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\n" ); document.write( "Using Determinants:
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\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
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