The inverse A⁻¹ satisfies AA⁻¹ = I (identity matrix). Exists only when det(A) ≠ 0. Used to solve systems of equations: Ax=b → x = A⁻¹b.
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Did You Know?
Inverting a 10,000×10,000 matrix requires ~10¹² floating-point operations — one of the most computationally intensive tasks in numerical computing.
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