For 10 points, name these arrays of numbers.
Representation theory treats finite groups as these kinds of objects by mapping a given group to the general linear group. If these objects are over an algebraically closed field, they can always be expressed in Jordan canonical form, even if they are not normal. Linear regression software frequently uses the QR algorithm on these objects, as the QR algorithm is faster and more stable than other methods that find their (*) inverses. These objects can be used to solve systems of linear equations with methods like Cramer's rule and, more generally, to represent linear transformations on vector spaces. An inverse will exist if and only if the determinant of one of these objects is non-zero. Tensors are a generalization of these objects, which have two dimensions, unlike vectors. For 10 points, name these arrays of numbers.
Representation theory treats finite groups as these kinds of objects by mapping a given group to the general linear group.
matrices [or matrix] &lt;Bailey&gt;