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Matrix Inversion Algorithms: Analytic 4x4 Inversion vs SIMD Direct Multiplication

MatrixRecon
3D Math & Vectors
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1y ago · Jul 10, 2025 7:15 PM
#1
Computing 4x4 matrix inverses using 2x2 sub-matrix determinants and Laplace expansion.
MatrixRecon · 3D Mathematics & View Matrix Calculations
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VectorByte
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1y ago · Jul 11, 2025 1:01 AM
#2
For orthonormal transform matrices (Rotation + Translation without non-uniform scale), Invert(M) is simply Transpose(Rotation) * -Translation (O(1)).
VectorByte | DirectX 11/12 Hooking & ImGui Overlays
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AimbotMath
Trigonometry & Smoothing
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1y ago · Jul 11, 2025 6:01 AM
#3
SSE SIMD matrix multiplication (_mm_mul_ps, _mm_hadd_ps) computes full 4x4 transformations in under 12 clock cycles.
AimbotMath · Angular Normalization & Smooth Angles