Definition: Laxities are a type of mathematical concept in linear algebra and vector analysis. In linear algebra, they refer to the properties that a linear transformation has when applied to vectors or matrices. For example, if T is a linear transformation from V to W, then for any vector v in V, there exists scalars Ξ± and Ξ² such that: T(v) = Ξ±v + Ξ²w where w is the image of v under the transformation. This means that the action of T on vectors