<P> In particular, the identity matrix serves as the unit of the ring of all n × n matrices, and as the identity element of the general linear group GL (n) consisting of all invertible n × n matrices . (The identity matrix itself is invertible, being its own inverse .) </P> <P> Where n × n matrices are used to represent linear transformations from an n - dimensional vector space to itself, I represents the identity function, regardless of the basis . </P> <P> The ith column of an identity matrix is the unit vector e . It follows that the determinant of the identity matrix is 1 and the trace is n . </P> <P> Using the notation that is sometimes used to concisely describe diagonal matrices, we can write: </P>

What is the determinant of the identity matrix
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