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Using BD, with denoting the rank of matrix.
We start with addressing the rank of matrix φ.
The matrix contains the right singular vectors of, with denoting the rank of matrix.
Obviously, rank(A0) = 1, where rank denotes the rank of matrix *.
where is the rank of matrix and are the set of nonzero eigenvalues of matrix.
One should note the maximum number of activate virtual channels is upper-bounded by the rank of matrix H.
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The lower bounds for the rank of matrices play an important role in diagnosing nonsingular matrices.
The paper mainly discusses the lower bounds for the rank of matrices and sufficient conditions for nonsingular matrices.
This approach permits to recover the length of code words by studying behaviors of the rank of matrices composed of received bits.
Note that we are constantly computing the rank of matrices which are very similar (submatrices of the stoichiometric matrix).
Many problems in matrix theory and applications are closely related to the inequalities for ranks of matrix expressions with variant matrices.
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