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How can I handle non-invertible matrices when implementing a physics engine for my game?

Handling Non-Invertible Matrices in Game Physics Engines Non-invertible matrices, or singular matrices, pose a significant challenge in implementing physics engines for games. They often occur when the system of equations representing the game’s physical constraints doesn’t have a unique solution. Here are some strategies to handle these scenarios: 1. Regularization […]

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How can I implement a check for parallel vectors in my game’s physics engine?

Checking for Parallel Vectors in a Game’s Physics Engine Understanding Vector Parallelism Two vectors are considered parallel if they are scalar multiples of each other. This is a fundamental concept for optimizing physics calculations where detecting parallel vectors can simplify collision detection and other computations. Methods for Checking Parallel Vectors […]

General

How can I efficiently calculate the inverse of a 3×3 transformation matrix to apply rotations and translations in my game’s physics engine?

Efficient Calculation of 3×3 Matrix Inverse for Game Physics Introduction to Matrix Inversion in Game Engines Inverting a 3×3 transformation matrix is an essential operation in game physics to apply accurate rotations and translations. This process maintains the integrity of the physics calculations when transforming coordinates between different spaces. Steps […]

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