basis2
Basis2 is not a standard mathematical term on its own, but in many disciplines it is used as a label for a second basis in a vector space or for a project-specific component named basis2. In linear algebra, a basis of an n-dimensional vector space V is an ordered set B = {b1, ..., bn} of vectors that are linearly independent and span V. A second basis, commonly denoted B2 = {c1, ..., cn}, is simply another basis for the same space. The two bases are related by a change-of-basis matrix P whose columns are the coordinates of the vectors of B2 written in terms of B1. If [v]_B1 is the coordinate vector of v with respect to B1, and P = [ [c1]_B1 ... [cn]_B1 ], then [v]_B2 = P^{-1} [v]_B1, and v = B1 [v]_B1 = B2 [v]_B2, where B1 and B2 are the basis matrices formed by the basis vectors.
Choosing basis2 can simplify computations, align with a symmetry, or relate to a local coordinate frame in
Because basis2 is context-dependent, readers should consult the relevant domain documentation to determine its precise meaning