Abstract
Let N be a set of natural numbers and Z be a set of integers. Let M2(Z) denotes the set of all 2x2 matrices with integer entries. We give necessary and suficient conditions for solvability of the matrix negative Pell equation (P) X − dY 2 = −I with d ∈ N for nonsingular X, Y belonging to M2(Z) and his generalization (Pn) n ∑
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