document.write( "Question 86464This question is from textbook
\n" ); document.write( ": solve the following system of equtions and give the general solution in parametric vector form.\r
\n" ); document.write( "\n" ); document.write( "x+y-2z=6
\n" ); document.write( "3y+z-w=3
\n" ); document.write( "-2x+y+2z-w=9 \n" ); document.write( "

Algebra.Com's Answer #62596 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "solve the following system of equtions and give the general\r\n" );
document.write( "solution in parametric vector form. \r\n" );
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document.write( "  x + y - 2z     = 6\r\n" );
document.write( "     3y +  z - w = 3\r\n" );
document.write( "-2x + y + 2z - w = 9\r\n" );
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document.write( "Associated with this linear system is the augmented matrix\r\n" );
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document.write( "Reducing it to row reduced echelon form:\r\n" );
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document.write( "So the general solution is \r\n" );
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document.write( " = \r\n" );
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document.write( "Write the -6 as -6+0w, and the w as 0 + 1w\r\n" );
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document.write( " = \r\n" );
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document.write( "Write the matrix on the right as the sum of two matrices:\r\n" );
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document.write( " =  + \r\n" );
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document.write( "Now factor out a scalar w from the right-hand matrix:\r\n" );
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document.write( " =  + w\r\n" );
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document.write( "That's fine in that form, however, it looks neater when you factor out\r\n" );
document.write( "1/3 from the matrix on the right:\r\n" );
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document.write( " =  + \r\n" );
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document.write( "Edwin

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