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could you please help me solve this quadratic matrix equation? I look around, seems like there is no general solution for it.. $$-BX^2 + X - C = 0$$ for X, B and C are (3x3) matrices. B and C are matrices of constant, solve for X. $$(-B_{3x3}X^2_{3x3} + X_{3x3} - C_{3x3} = 0)$$

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This question is not an exact duplicate, but my answer gives you a pointer that applies also to your case.

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