the frame tends to a Riesz basis, then S tends to the

identity matrix.

p] is the p-dimensional

identity matrix and 0 is p x (d - p) zero matrix.

It is worth noting that the treatment of matrix in this map is more focused in detailing the acceptable EROS in direct contrast to the more general treatment of matrix in relation to the

identity matrix, I=[AA.

Note that, since I is an n x n

identity matrix, with nonzero scalar [[beta].

N(9l-1)] and I is the N(2l-1) x N(2g-1)

identity matrix.

This variant has been used in the context of spectral dichotomy for a general matrix [1, 3], where the

identity matrix was used in step 2 instead of [W.

i] is the embedding of a nonsingular 2 x 2 matrix at the intersection of the ith and (i + 1)st rows and columns in the

identity matrix.

The Bartlett test of sphericity was used to verify the null hypothesis, according to which the correlation matrix is an

identity matrix.

Step 1 : Starting with the augmented matrix (A | B), reduce it to a form with an

identity matrix of desired order, by elementary row operations only.

where a coefficient q was equal to 10 and I is

identity matrix.

n] is the

identity matrix and s is a positive scalar factor, was studied and it was shown th]at the approximate computation of this decomposition is breakdown-free when A is an M-matrix.

n] represents

identity matrix of order n, and J = ([e.