Sentence examples for matrix is singular from inspiring English sources

Assuming that the matrix is singular, its rows are linearly dependent.

(a) Covariance matrix is singular, (b) a method making covariance matrix nonsingular.

The Stefan Maxwell matrix is singular and a mass conservation constraint completes the system of equations.

The independent substructures move freely, and their stiffness matrix is singular and rank-deficient.

A demographically valid solution may not exist, the projection matrix is singular, and the transfer rates can be quite high.

Although the Fisher information matrix is singular, a CRB-like bound exists on the total estimation variance.

Our method is a refinement of those from [Jeff Kahn, János Komlós, Endre Szemerédi, On the probability that a random ±1-matrix is singular, J. Amer. Math. Soc. 8 (19951995) 223 240; Terence Tao, Van Vu, On the singularity probability of random Bernoulli matrices, J. Amer. Math. Soc. 20 (2007) 603 628].

In this case, the G-matrix is singular (Lande 1979), that is, at least one of its eigenvectors has a zero eigenvalue.

For undersampled problems, where the data dimensionality is much larger than the sample size, all scatter matrices are singular and classical LDA fails.

We discuss formulations of boundary conditions in a quantum graph vertex and demonstrate that the so-called ST-form can be further reduced up to a form more effective in certain applications: In particular, in identifying the number of independent parameters for given ranks of two connection matrices, or in calculating the scattering matrix when both matrices are singular.

In this article, we studied the stability of a class of linear singular discrete time systems whose coefficients are square constant matrices and the leading matrix coefficient is singular.