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...n to vary from 1 to ''n'' then δ gives the entries of the ''n''-by-''n'' [[identity matrix]]. The invariance of this matrix under [[orthogonal matrix|orthogonal]] ch

{{r|Identity matrix}}

{{r|Identity matrix}}

{{r|Identity matrix}}

{{r|Identity matrix}}

...2 Hermitian matrix may be written as a linear combination of the 2×2 identity matrix and the three [[Pauli spin matrices]]. These matrices have use in [[Quantum

=== Identity matrix === {{main|Identity matrix}}

{{r|Identity matrix}}

...''_''i''} such that the [[overlap matrix]] is not equal to the [[identity matrix]], ...e metric tensor is a function of position and cannot be transformed to an identity matrix by a global transformation, i.e., by a single transformation holding on t

where '''E''' is the 3×3 identity matrix and superscript T indicates the transposed matrix. Clearly a rotation matri

where '''E''' is the 3×3 [[identity matrix]].

where we used '''B B'''^−1 = '''E''' (the identity matrix). \mathrm{Tr}( \mathbf{E}) &= n \qquad\hbox{(trace of identity matrix)}\\

...trix|Hermitian matrices]] which form an orthogonal basis (along with the [[identity matrix]]) for the real [[Hilbert space]] of 2&nbsp;&times;&nbsp;2 Hermitian matric ...mbol]], <math>\delta_{ij}</math> is the [[Kronecker delta]], and I is the identity matrix.

...als the tensor is a real number &sigma;₀ times a 3&times;3 [[identity matrix]]. The scalar &sigma;₀ is the [[conductivity coefficient]] and

...'&times;2''n'' matrix ''J'' that has 2&times;2 block structure and Id (the identity matrix) in the lower left block, -Id in the upper right block, and 0 in the rest.

...3&times;3 [[matrix]] obeying '''A'''^T'''A''' = '''E''' (the [[identity matrix]]), then rotation of the coordinate axes by '''A''' gives

where <math>\mathbf{E}\,</math> is the [[identity matrix]].

...and ''a fortiori'' linearly independent, the matrix '''S''' becomes the [[identity matrix]]. Such a matrix has unit determinant. In that case ''K'' = (N!)<sup>1/2</s

where '''E''' is the 3&times;3 [[identity matrix]].

...i.e., to "track") the desired output <math>y_k^d</math>. If ''C'' is the [[identity matrix]] and <math>y_k^d=x_k^d \in \mathbb{R}^n</math> then the tracking problem c