It looks like a 2×2 matrix: A = [ [7x, 5y], [12y, 8x] ]
Determinant: det(A) = 7x·8x − 5y·12y = 56x^2 − 60y^2 = 4(14x^2 − 15y^2)
Singularity (det = 0): 56x^2 − 60y^2 = 0 → 14x^2 = 15y^2 → x = ±√(15/14) · y (for y ≠ 0) (plus the trivial solution x = y = 0)
If you want, I can help with the inverse when det ≠ 0 or apply this to a specific problem. What would you like to do?