Sorry, no online dictionaries contain the exact phrase kernel of a matrix.
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Reverse dictionary results:
1. normal
2. cobble
3. cobbled
4. cobbling
5. core
6. ear
7. filbert
8. gist
9. grain
10. meat
11. milk
12. nut
13. nutshell
14. nyt
15. oat
16. pickle
17. pickling
18. pio
19. pip
20. pit
21. pitting
22. plot
23. shell
24. determinant
25. magic square
26. mold
27. molded
28. parent
29. trace
30. traces
31. gang
32. innate
33. nodule
34. oolite
35. permanent
36. legend
37. alone
38. altar
39. ammonium carbonate
40. analysis

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You can look up the words in the phrase individually using these links:   kernel ?   of ?   a ?   matrix ?
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