Abstract Linear Algebra
Abstract linear algebra considers matrices with entries from any commutative ring, not limited to the integers. In this context, a unimodular matrix is one that is invertible over the ring; equivalently, whose determinant is a unit. This group is denoted .
Over a field, unimodular has the same meaning as non-singular. Unimodular here refers to matrices with coefficients in some ring (often the integers) which are invertible over that ring, and one uses non-singular to mean matrices that are invertible over the field.
Read more about this topic: Unimodular Matrix
Famous quotes containing the words abstract and/or algebra:
“... my whole existence is governed by abstract ideas.... the ideal must be preserved regardless of fact.”
—Mary Corinna Putnam (18421906)
“Poetry has become the higher algebra of metaphors.”
—José Ortega Y Gasset (18831955)