document.write( "Question 1159573: If A =
\n" ); document.write( "[x, 3]
\n" ); document.write( "[y, 2]
\n" ); document.write( "determine the values of x and y for which A^2=A. \n" ); document.write( "

Algebra.Com's Answer #782816 by math_helper(2461) $\"\"$ $\"About$

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$\"+%28matrix%282%2C2%2Cx%2C3%2Cy%2C2%29%29+\"$ $\"+%28matrix%282%2C2%2Cx%2C3%2Cy%2C2%29%29+\"$ = $\"+%28matrix%282%2C2%2Cx%5E2%2B3y%2C3x%2B6%2Cxy%2B2y%2C3y%2B4%29%29+\"$ \r
\n" ); document.write( "\n" ); document.write( "From this, you can get four equations\r
\n" ); document.write( "\n" ); document.write( "1) $\"+x%5E2%2B3y+=+x\"$
\n" ); document.write( "2) $\"+3x%2B6+=+3+\"$
\n" ); document.write( "3) $\"+xy%2B2y+=+y+\"$
\n" ); document.write( "4) $\"+3y%2B4+=+2+\"$ \r
\n" ); document.write( "\n" ); document.write( "(2) ==> x=-1
\n" ); document.write( "(4) ==> y=-2/3\r
\n" ); document.write( "\n" ); document.write( "You can verify (1) & (3) hold, as does
\n" ); document.write( " $\"+%28matrix%282%2C2%2C-1%2C3%2C-2%2F3%2C2%29%29+\"$ $\"+%28matrix%282%2C2%2C-1%2C3%2C-2%2F3%2C2%29%29+\"$ = $\"+%28matrix%282%2C2%2C-1%2C3%2C-2%2F3%2C2%29%29+\"$ \n" ); document.write( "

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