Diagonalizes example sentences

"Diagonalizes" Example Sentences

1. The quantum computer diagonalizes complex matrices quickly and efficiently.
2. The linear algebra class focused heavily on diagonalizing matrices.
3. Her research involves developing algorithms to accurately diagonalize large matrices.
4. The eigenvectors of the matrix can be used to diagonalize it.
5. He used a computational method to diagonalize the Hermitian matrix.
6. The professor showed us how to diagonalize a system of linear equations.
7. The new software has the ability to automatically diagonalize any matrix.
8. The diagonalizing process helped simplify the problem significantly.
9. The algorithm they developed diagonalizes matrices faster than any other method.
10. The physics textbook explains how to diagonalize operators in quantum mechanics.
11. Matrix diagonalization is a crucial concept in many areas of mathematics and science.
12. It is important to learn how to diagonalize a matrix to understand spectral theory.
13. The software package includes a function to diagonalize matrices in a few steps.
14. The mathematical model presented in the paper is diagonalizable.
15. She could easily diagonalize small matrices by hand but struggled with larger ones.
16. Understanding how to diagonalize Hermitian matrices is key to quantum computation.
17. The theorem states that any matrix can be diagonalized, given the right conditions.
18. The author used diagonalization to solve a long-standing mathematical problem.
19. The diagonalizable operator has a clear set of eigenvectors and eigenvalues.
20. The pseudospectral method involves a form of matrix diagonalization for solving differential equations.
21. Efficiently diagonalizing large matrices has become a crucial component of computational physics.
22. The student was particularly adept at diagonalizing symmetric matrices.
23. A crucial step in the process was diagonalizing the complex matrix.
24. The researcher discovered a new technique for diagonalizing matrices that was faster than previous methods.
25. Diagonalizing a real matrix involves finding the real eigenvalues and eigenvectors.
26. The diagonalizing algorithm was able to identify unexpected patterns in the data.
27. The method for diagonalizing matrices proved to be useful in image processing.
28. The physicist demonstrated how to diagonalize a matrix using the Gram-Schmidt orthogonalization process.
29. The software engineer improved the algorithm used to diagonalize matrices, resulting in significant speed improvements.
30. The diagonalizing process helps to identify the key factors contributing to a complex system.

Common Phrases

1. The matrix diagonalizes the linear transformation;
2. The eigenvectors diagonalize the matrix;
3. The operator diagonalizes the vector space;
4. The diagonal matrix diagonalizes itself;
5. The eigenvalues diagonalize the matrix;
6. The diagonalization process produces a diagonal matrix;
7. The diagonal matrix diagonalizes the operator;
8. The matrix diagonalizes into its diagonal form;
9. The diagonal form of the matrix diagonalizes the linear transformation;
10. The diagonal matrix diagonalizes the linear combination.