document.write( "Question 182158: Hello, I'm having some difficulty with the following problem:\r
\n" ); document.write( "\n" ); document.write( "Use matrices to help find a general solution of each system of equations.\r
\n" ); document.write( "\n" ); document.write( "{ x+z=1
\n" ); document.write( " x+y=2
\n" ); document.write( " 2x+y+z=3\r
\n" ); document.write( "\n" ); document.write( "thanks,\r
\n" ); document.write( "\n" ); document.write( "H.C. \n" ); document.write( "

Algebra.Com's Answer #136758 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
In matrix form it would look like,
\n" ); document.write( "[A]= $\"%28matrix%283%2C3%2C1%2C0%2C1%2C1%2C1%2C0%2C2%2C1%2C1%29%29\"$
\n" ); document.write( "[x]= $\"%28matrix%283%2C1%2Cx%2Cy%2Cz%29%29\"$
\n" ); document.write( "[b]= $\"%28matrix%283%2C1%2C1%2C2%2C3%29%29\"$
\n" ); document.write( "[A][x]=[b]
\n" ); document.write( "The solution is
\n" ); document.write( "[x]=[A]inv[b]
\n" ); document.write( "where [A]inv is the inverse of [A]
\n" ); document.write( "This is where the problem comes in.
\n" ); document.write( "The determinant of [A] is zero, there is no solution.
\n" ); document.write( "Was that the difficulty you were having? \n" ); document.write( "

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