non-homogeneous set of linear equations
where b1, b2,…, bm are not all zero. (Compare with homogeneous set of linear equations.) In matrix notation, this set of equations may be written as Ax = b, where A is the m × n matrix [aij], and b ≠ 0 and x are column vectors:
Such a set of equations may be inconsistent, have a unique solution, or have infinitely many solutions (see simultaneous linear equations). If m = n, A is square and the set of equations has a unique solution, namely x = A−1b, if and only if A is invertible.
- unity
- univalent
- universal covering space
- universal gravitational constant
- universal machine
- universal quantifier
- universal set
- unknot
- unknown
- unstable equilibrium
- upper bound
- upper limit
- upper triangular matrix
- Urysohn's lemma
- utility
- utility function
- V
- V4
- valency
- validation
- Vallée-Poussin, Charles-Jean de la
- value
- value
- Vandermonde's convolution formula
- Vandermonde's determinant