where the numeral “1” and “0” respectively represent the multiplicative and additive identities in .
The identity matrix serves as the multiplicative identity in the ring of matrices over with standard matrix multiplication. For any matrix , we have , and the identity matrix is uniquely defined by this property. In addition, for any matrix and , we have and .
The identity matrix satisfy the following properties
For the determinant, we have , and for the trace, we have .
The matrix exponential of gives .
The identity matrix is a diagonal matrix.
|Date of creation||2013-03-22 12:06:29|
|Last modified on||2013-03-22 12:06:29|
|Last modified by||mathcam (2727)|