document.write( "Question 1176200: The sum of all the eigenvalues of the matrix\r
\n" ); document.write( "\n" ); document.write( " A=[(−1 0 0),(0 1 2),(1 1 2)] is
\n" ); document.write( "

Algebra.Com's Answer #802517 by ikleyn(52814)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "The sum of all eigenvalues of any square matrix  A  is the same as the trace of A (that is, the sum of the diagonal elements of A).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  The sum of the n eigenvalues of A is  -1 + 1 + 2 = 2.\r\n" );
document.write( "
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "See this source\r
\n" ); document.write( "\n" ); document.write( "https://brilliant.org/discussions/thread/product-and-sum-of-eigenvalues/\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Solved, answered and explained.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );