invertible matrix

Definitions

1. 1

   Any n×n square matrix for which there exists a corresponding inverse matrix (i.e., a…

   Any n×n square matrix for which there exists a corresponding inverse matrix (i.e., a second (or possibly the same) matrix such that when the two are multiplied by each other, in either order, the result is the n×n identity matrix).

   • There are certain very simple invertible matrices, and every invertible matrix over a field can be built up out of them.
   • The space of real square matrices of fixed size is a vector space whose dimension is a perfect square and the invertible matrices constitute a dense open subset of this vector space.

The neighborhood

• antonymsingular matrix
• antonymdegenerate matrix