Exact(27)
Let X ∈ {0, 1} L × N be the xor-genotypes matrix of N individuals such that X = [ x 1 x 2 … x N ].
To describe SVD mathematically, let X denote a matrix of n observations by p variables.
HM is a matrix of N × M dimensions that stores N solutions each consisting of M components or variables.
A† denotes the Hermitian transpose of matrix A. The identity matrix of n dimensions is denoted by In.
The resulting compensated covariance matrix of n measurements is as follows: begin{array}rcl@ hatSigma & =& left(sumlimits_{i=1}^{n} (nSigma)^{-1} right)^{-1} end{array} (69).
(c) At n=1,2,3, calculate the covariance matrix C n of N ̂ n, the n-mode unfolding matrix of N ̂.
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The eigenvalues λ are the roots of the determinant equation: Open image in new window (29 where I is the identity matrix of n-by-n.
A is the comparison matrix of size n × n, for n criteria, also called the priority matrix (Fig. 1) [ 16].
We use the notation I to represent the identity matrix of size N × N, and let I ′ be the diagonal matrix of size N × N, all of whose entries in the diagonal are ones, except the first and the last.
Indeed, the Y vector of n observations of a single Y variable in linear multiple regression is replaced by a Y-matrix of n observations of k different Y variables, and, similarly, the β vector of regression coefficients is transformed.
For example, if A is an m-by-n matrix, 'x' designates a column vector (i.e., n×1-matrix) of n variables x1, x2,..., xn, and 'b' is an m×1-column vector, then the matrix equation Ax = 'b' is equivalent to the system of linear equations A1,1x1 + A1,2x2 +... + A1,nxn = b1 :... Am,1x1 + Am,2x2 +... + Am,nxn = bm.
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