Abstract
According to linear algebra [1,2], a linear multi-variable simultaneous equation can always be written in a matrix form below:
where the coefficient matrix A is m by n if there are n variables in x and m known values in b, or x ∈ ℝn and b ∈ ℝm. If A is a square matrix, i.e., m = n, and also non-singular, then equation (5.1) has a unique solution x = A − 1 b, where A − 1 is known as the inverse of the square matrix A.
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Gu, E.Y.L. (2013). Redundant Robots and Hybrid-Chain Robotic Systems. In: A Journey from Robot to Digital Human. Modeling and Optimization in Science and Technologies, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39047-0_5
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DOI: https://doi.org/10.1007/978-3-642-39047-0_5
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