||'''Book'''|| Advanced Engineering Mathematics || ||'''Author'''|| Erwin Kreyszig || ||'''Edition'''|| 8th Edition || /* code_begins */ {{{ A = Matrix([[1,4],[-4,1]]) print A A.characteristic_polynomial() A.eigenvalues() # eigenvalues are imaginary => the matrix is not symmetric # eigenvalues are not purely imaginary => the matrix is not skew-symmetric # eigenvalues are complex conjugates with modulii = 1 => the matrix is not orthogonal }}} /* code_ends */ * '''Solution by''': * ganesh, developer, space * bhanukiran, student, technical university of Delft * saransh, student, sobhit university * ujwala, lecturer, aurangabad