👉 Induced is a mathematical concept in linear algebra which refers to an operator that changes a vector or matrix by a scalar multiple of another vector or matrix. It is often used when dealing with transformations or mappings between two spaces, such as linear maps or operators acting on vectors or matrices. In linear algebra, the term "induced" can also refer to a specific type of transformation that occurs when a set of vectors are mapped onto each other in some way. This transformation is called an induced mapping and
