“…Source: Żółtowski and Cempel (2004), Cempel (2005b) and Żółtowski et al (2008) The main diagonal of the matrix Σ pr , becomes the eigenvalues Λ, it has a physical interpretation, Λ = [μ 1 ,…,μ i ,…,μ k ] represents the fraction of damage (contribution of fault) in the engineering systems, the set of μ i has a limited value attached λ lim , and it represents failure of the first failure status μ 1 . By using the SVD method it is possible to determine SD i the index, which is defined as the discriminant of the failure i th (Cempel et al, 2003). SD i is a sensible symptom to a specific failure and therefore each SD i is used for distinguishing between various failures that evolve in the system.…”