The symmetric closure of relation on set is. Bristol, England: Adam Hilger, pp. This is often referred to as a “spectral theorem” in physics. For example. G 0 (L) and G 0 (U) are called the lower and upper elimination dags (edags) of A. Transitive Closure The transitive closure of R is obtained by repeatedly adding (a;c) to R for each (a;b) 2R and (b;c) 2R. in the Wolfram Language using SymmetricMatrixQ[m]. Therefore, for (0,1)-matrices, Proof: 1) Let ‚ 2 C be an eigenvalue of the symmetric matrix A. Over an algebraic closure K of the fraction ﬁeld of R, this may be expressed as Y i