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., The matrix has an inverse bounded by.
(iii)The matrix has an eigenvalue that is, for some.
(i), (ii) The matrix has an inverse bounded by.
The judgment matrix has an eigenvalue equal to n if the comparisons are perfectly consistent.
Theorem 2. For an absorbing Markov chain the matrix has an inverse and.
Generally, the distribution of fillers in a matrix has an influence on the value of fc.
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Moreover, this matrix has a simple structure and interesting properties.
Every irreducible nonnegative matrix has a positive eigenvalue such that the corresponding eigenvector is positive.
If the matrix has a complete set of eigenvectors, then it is diagonalizable.
This implies that, for (m<-frac{n^{2}}{4}), the Jacobian matrix has a pair of complex eigenvalues.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com