document.write( "Question 324886: 5x-3y+7=11
\n" ); document.write( "3x+y-2z=11
\n" ); document.write( "-x+2y+z=11
\n" ); document.write( "Using the matrix method,which row of operations can i use to solve this problem?
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Algebra.Com's Answer #232672 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
You could find the inverse of the coefficient matrix or you could use Gaussian elimination.
\n" ); document.write( "I'll use matrix inversion in EXCEL (MINVERSE function).
\n" ); document.write( "[A]=\"%28matrix%283%2C3%2C5%2C-3%2C7%2C3%2C1%2C-2%2C-1%2C2%2C1%29%29\"
\n" ); document.write( "[x]=\"%28matrix%283%2C1%2Cx%2Cy%2Cz%29%29\"
\n" ); document.write( "[b]=\"%28matrix%283%2C1%2C11%2C11%2C11%29%29\"
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\n" ); document.write( "Find the inverse of [A].
\n" ); document.write( "[A][x]=[b]
\n" ); document.write( "[x]=[A]inv[b]
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\n" ); document.write( "det([A])=\"77\"
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\n" ); document.write( "[A]inv=\"%281%2F77%29%2A%28matrix%283%2C3%2C5%2C17%2C-1%2C-1%2C12%2C31%2C7%2C-7%2C14%29%29\"
\n" ); document.write( "\"%28matrix%283%2C1%2Cx%2Cy%2Cz%29%29=%28matrix%283%2C1%2C3%2C6%2C2%29%29\"
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