The work focuses on the inverse eigenvalue problem for nonnegative matrix of smaller dimensions with its main source being a research article by A. M. Nazari and F. Sherafat titled On the inverse eigenvalue problem for nonnegative matrices of order two to five. We study the problem of dimensions for up to 5x5 with corresponding thesis and proof. Simultaneously we also try to find conditions with which we can address problems of bigger dimensions and possible sources for claims for those dimensions. With proofs we also get matrix “models” if we want to quickly find the possible nonnegative solution for the given values. We create the matrix using the newer claim of construction, that is also explained.
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