By the formulas above, the permutation matrices form a group under matrix multiplication with the identity matrix as the identity element.
42.
The POOM starts out an identity matrix, then each edit to the document slices and rearranges horizontal strips of the map.
43.
The trace of the identity matrix is the dimension of the space; this leads to rank of " A ".
44.
This nonnewtonian flow is isotropic ( the matrix is proportional to the identity matrix ), so the viscosity is simply a scalar:
45.
:The articles on Determinant, Invertible matrix, Identity matrix, and Matrix multiplication look nice, and link to other stuff.
46.
Where the inequalities are matrix inequalities, \ otimes denotes the tensor product and I _ x the identity matrix of dimension x.
47.
These properties mean that the determinant is an alternating multilinear function of the columns that maps the identity matrix to the underlying unit scalar.
48.
In particular, using similarity invariance, it follows that the identity matrix is never similar to the commutator of any pair of matrices.
49.
This identity matrix will succeed in the alignment of very similar amino acid sequences but will be miserable at aligning two distantly related sequences.
50.
In the Pauli matrix representation, the unit basis vectors are replaced by the Pauli matrices and the scalar part by the identity matrix.
