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...Eigenvalue problems main idea and formulation in the linear algebra word stems from german eigenwert that can be translated into english as its own value or inherent this is a of parameter equation system equations for which has nontriv ial nonzero solution mathematically simplest problem given square matrix one to find such values l actually x nontrivial vector column moving right part left obtains i where identity having all diagonal elements nondiagonal zero solutions only if determinant det equivalent nth order algebraic n rank mathrix thus there are different eigenvalues complex corresponding eigenvectors defined up an arbitrary numerical factor so usually they normalized by requiring xt row transposed conjugate it proven belong orthogonal more generally than above m mn here d kronecker symbol important class matrices hermitean satisfy at real just symmetric chosen mathematica offers solver eivenvalue interested use command computed while both eigensystem let us illustrate how wor...