MATRIX SOLUTIONS FOR THE NON-LINEAR EXPONENTIAL DIOPHANTINE EQUATION$$\left(X^a+\alpha I_q\right)^m+\left(Y^b+\beta I_q\right)^n=Z^2$$$$\alpha, \beta \in Z, a, b, m, n, q \in \mathrm{~N}, X, Y, Z \in M_q(\mathrm{~N})$$. JPJANA [Internet]. 2025 Nov. 17 [cited 2026 Jan. 5];65(1):1-20. Available from: https://pphmjopenaccess.com/jpjana/article/view/3106