  In this research paper, structured bi-matrix variate, matrix quadratic
equations are considered. Some lemmas related to determining the eigenvalues of
unknown matrices are proved. Also, a method of determining the diagonalizabe
unknown matrices is provided. The results are generalized to multi-matrix
variate, matrix polynomial equations. Briefly generalization to tensor variate
polynomial equations is discussed. It is hoped that the results lead to
important contributions in "non-commutative algebra".
