These objects that have four fundamental subspaces can be used to represent linear transformations.
The companion type of these objects is sometimes used to simplify differential equations. The Gram-Schmidt orthonormalization process is used for the QR decomposition of these objects. The exponential function is defined by a finite series for these objects only if they are nilpotent. These objects that have four fundamental subspaces can be used to represent linear transformations. Finding their eigenvalues allows them to be diagonalized. If x and b are vectors and A is one of these, then A x equals b represents a system of linear equations. These objects have a nonzero determinant if they are invertible and square. Identify these objects whose multiplication is not commutative, rectangular grids of numbers arranged in rows and columns.
The companion type of these objects is sometimes used to simplify differential equations.
(square) {matrices} [or {matrix}]