Talk:Kernel of Linear Transformation is Linear Subspace
Jump to navigation
Jump to search
Similar page?
Should this page be merged into Kernel of Linear Transformation is Submodule? --Hbghlyj (talk) 21:11, 17 March 2024 (UTC)
- No, because Kernel of Linear Transformation is Submodule proves that the kernel of a linear transformation is a submodule of the domain of the linear transformation.
- This page proves that the kernel of a bounded linear transformation is a linear subspace of the domain of the linear transformation.
- So, well and good that we have proved it's a submodule, we now have to go away and prove that it is also a linear subspace of the domain.
- Incidentally, do we really need the linear transformation to be bounded? Or is that a mistake? --prime mover (talk) 21:20, 17 March 2024 (UTC)
Title need rename?
The title of this page is from the link in Kernel of Bounded Linear Transformation is Closed Linear Subspace.
That page is contributed by the user Lord Farin. --Hbghlyj (talk) 21:14, 17 March 2024 (UTC)
- See above. I think the mistake has been made by you, assuming that the linear transformation needs to be bounded. --prime mover (talk) 21:20, 17 March 2024 (UTC)