document.write( "Question 1061938: Let A= [1 2 3 5;2 4 8 12;3 6 7 13] I have already reduced
\n" ); document.write( "the matrix to [1 2 3 5;0 0 1 1;0 0 0 0] I need help
\n" ); document.write( "solving the next step which is to find the general
\n" ); document.write( "solution in the form x=xh + p of Ax= (0, 6, -6)T\r
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Algebra.Com's Answer #677086 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
Let A= [1 2 3 5;2 4 8 12;3 6 7 13] I have already reduced
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\n" ); document.write( "solving the next step which is to find the general
\n" ); document.write( "solution in the form x=xh + p of Ax= (0, 6, -6)T
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document.write( "Matrix A is an abbreviation for this system of equations:\r\n" );
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document.write( "You have reduced the matrix down to this, call it B:\r\n" );
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document.write( "That reduced matrix is an abbreviation for this system of equations:\r\n" );
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document.write( "Eliminating all the 0 terms and the 1 coefficients:\r\n" );
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document.write( "Substitute 1 for z in the first equation:\r\n" );
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document.write( "\"matrix%281%2C5%2C%0D%0A%0D%0Ax%2C+%22%22%2C%22%22=%22%22%2C%22%22%2C+2-2y%29\"\r\n" );
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document.write( "So the general solution is\r\n" );
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document.write( "x = 2-2y\r\n" );
document.write( "y = y\r\n" );
document.write( "z = 1\r\n" );
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document.write( "or\r\n" );
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document.write( "(x, y, z) = (2-2y, y, 1)\r\n" );
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document.write( "That's the way most books like the general solution in.\r\n" );
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document.write( "I've never seen \r\n" );
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document.write( "though I've taught college mathematics for many years.  I'm sure\r\n" );
document.write( "it's equivalent to that, though. Some books will put a k for the y,\r\n" );
document.write( "like this:\r\n" );
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document.write( "(x, y, z) = (2-2k, k, 1)\r\n" );
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document.write( "Edwin
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