1. Either the matrix is invertible.

2. Moreover, the resolving scheme of the invertible matrix problem involving the time domain iteration is presented.

3. Or, if a matrix is not invertible, then you have infinitely many solutions.

4. In this paper, we prove that invertible dynamic feedback linearizability is equivalent to linearizability by adding integrators for up to 4 dimensional affine nonlinear systems.

5. A method of an accompany matrix and invertible matrix is indicated polynomial using Hamilton-Cay lay theorem is introduced. A method of calculating the smallest polynomial is given.

6. Firstly, the motion invertible time filtering done by lift style was implemented along the time direction.

7. Due to derivation is invertible, in this sense, one have already completed the derivation for all 8 important water drive curves.

8. Utilizing the stretch and fold mechanism, an invertible map set based image encryption algorithm is proposed.

9. In the previous section, almost all transformations are invertible .

10. Some results related to invertible matrices over bounded distributive lattice are generalized to matrices over incline.

10. try its best to collect and make good sentences.

11. So when 2 is invertible, this can be used as the definition of a quadratic form.

12. Then T is an invertible linear operator preserving rank - partial ordering on Sn(F) if and only if there exists an invertible matrix (F) such that where .

13. An orthogonal matrix is an invertible matrix for which the inverse is equal to the transpose.

14. For systems with input saturation constraint and invertible static input nonlinearity, a two step generalized predictive control (TSGPC) strategy is adopted.

15. In the second part, we study the structure of feedforward inverse finite automata in general case, and we also discuss the structure of weakly invertible finite automata.

16. We shall prove that the sphere of any infinite - dimensional normed space is invertible.

17. Some striking examples of this are the group of invertible linear maps or matrices, and the ring of linear maps of a vector space.

18. It is very important to investigate the decomposition of weakly invertible finite automata, since it could provide an approach to cryptanalyzing finite automata public-key cryptosystem(FAPKC).

19. This paper discusses the duality of this kind of linear invertible transform, and gives the general expression for the duality between the transform and the inverse transform.

20. And then, we have two cases. So, the case where the system is invertible corresponds to the general situation where your three planes somehow all just intersect in one point.

21. Counting formulas are given and applied in the research on properties of invertible linear transformation probability space.

22. It is well known that, for nonsingular systems where $A$ is invertible, the iterative method converges if and only if the spectral radius of the iteration matrix is strictly less than 1.

23. So, what happens to these two situations when a is invertible or not?

24. The mixing system is composed of a linear convolution followed by an invertible nonlinear distortion.

25. A square real matrix A is called an S2NS matrix, if every matrix with the same sign pattern as A is invertible, and the inverses of all such matrices have the same sign pattern.