linear algebra - if $T: V\to V$ and $ dim (KerT)+dim (ImT)=dimV
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Prove that $T^*$ is injective iff $ImT$ Is dense
Dec 21, 2014 · The title of your question does not really match the actual question (maybe the statement of the current question is used to prove the result in the title?). Is this intended?
Find a basis for KerT and ImT (T is a linear transformation)
Jun 15, 2019 · Find a basis for KerT and ImT (T is a linear transformation) Ask Question Asked 6 years, 4 months ago Modified 6 years, 4 months ago
Intersection of the NullT and ImT - Mathematics Stack Exchange
Feb 11, 2015 · Intersection of the NullT and ImT Ask Question Asked 10 years, 7 months ago Modified 4 years, 7 months ago
Show that $ImT^t= (kerT)°$ - Mathematics Stack Exchange
Mar 1, 2015 · Let $T:V→W$ be linear transformation and V have a finite dimension. Show that $ImT^t=(kerT)°$ I have to prove it by mutual inclusion. I have proven the first ...
linear algebra - Prove Ker$T= ($Im$T^*)^\bot$ and …
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linear algebra - Find a basis for $ImT$ and represent the image ...
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V = ImT \oplus \ KerT - Mathematics Stack Exchange
Linear Tranformation that preserves Direct sum $ V = ImT \oplus \ KerT $ Ask Question Asked 12 years, 9 months ago Modified 12 years, 9 months ago
Finding the basis of ker (T) and im (T) - Mathematics Stack Exchange
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Give an example of a linear map $T$ such that $\dim …
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