What is Null space: Definition and 72 Discussions

In mathematics, the kernel of a linear map, also known as the null space or nullspace, is the linear subspace of the domain of the map which is mapped to the zero vector. That is, given a linear map L : V → W between two vector spaces V and W, the kernel of L is the vector space of all elements v of V such that L(v) = 0, where 0 denotes the zero vector in W, or more symbolically:




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{\displaystyle \ker(L)=\left\{\mathbf {v} \in V\mid L(\mathbf {v} )=\mathbf {0} \right\}.}

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  1. mido hoss

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  2. karush

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  3. archaic

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  4. N

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  7. F

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  10. S

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  11. M

    B Zero eigenvalue and null space

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  12. Y

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  14. A

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  15. A

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  16. Paul Shredder

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  17. K

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  18. Muthumanimaran

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  19. M

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  20. N

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  21. K

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  22. I

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  24. D

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  25. M

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  26. N

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  27. S

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  28. A

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  29. L

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  30. R

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  31. E

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  32. J

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  33. G

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  34. A

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  36. S

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  38. A

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  39. P

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  40. Y

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  41. T

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  43. R

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  46. C

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