Why do you include the rank-nullity theorem ("$ dim (KerT)+dim (ImT)=dimV $") as an hypothesis in your title? linear algebra - if $T: V\to V$ and $ dim (KerT)+dim (ImT)=dimV $ can i ... Find a basis for KerT and ImT (T is a linear transformation) Ask Question Asked 6 years, 10 months ago Modified 6 years, 10 months ago Find a basis for KerT and ImT (T is a linear transformation) Linear Alegbra - Find Base for ImT and KerT Ask Question Asked 11 years, 6 months ago Modified 11 years, 6 months ago This means we have $v \in (ImT^*)^\bot$ and therfore we have $KerT \subseteq (ImT^*)^\bot$.
For the other side, consider $0 \neq v \in (ImT^*)^\bot$, (which exists from the same reasons as the previous containment). Linear Tranformation that preserves Direct sum $ V = ImT \oplus \ KerT $ Ask Question Asked 13 years, 2 months ago Modified 13 years, 2 months ago
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Find a basis for KerT and ImT (T is a linear transformation) Linear Tranformation that preserves Direct sum $ V = ImT \oplus \ KerT $ Ask Question Asked 13 years, 2 months ago Modified 13 years, 2 months ago Linear Alegbra - Find Base for ImT and KerT Ask Question Asked 11 years, 6 months ago.
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Linear Tranformation that preserves Direct sum $ V = ImT \oplus \ KerT $ Ask Question Asked 13 years, 2 months ago Modified 13 years, 2 months ago Find a basis for KerT and ImT (T is a linear transformation) Ask Question Asked 6 years, 10 months ago Modified 6 years, 10 months ago Linear Alegbra -.
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Linear Alegbra - Find Base for ImT and KerT Ask Question Asked 11 years, 6 months ago Modified 11 years, 6 months ago This means we have $v \in (ImT^*)^\bot$ and therfore we have $KerT \subseteq (ImT^*)^\bot$. For the other side, consider $0 \neq v \in (ImT^*)^\bot$, (which exists from the same.
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Find a basis for KerT and ImT (T is a linear transformation) Ask Question Asked 6 years, 10 months ago Modified 6 years, 10 months ago Why do you include the rank-nullity theorem ("$ dim (KerT)+dim (ImT)=dimV $") as an hypothesis in your title? linear algebra - if $T: V\to V$ and $ dim (KerT)+dim.
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Find a basis for KerT and ImT (T is a linear transformation) Ask Question Asked 6 years, 10 months ago Modified 6 years, 10 months ago linear algebra - if $T: V\to V$ and $ dim (KerT)+dim (ImT)=dimV $ can i ... Why do you include the rank-nullity theorem ("$ dim (KerT)+dim (ImT)=dimV $") as an.
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Find a basis for KerT and ImT (T is a linear transformation) Ask Question Asked 6 years, 10 months ago Modified 6 years, 10 months ago This means we have $v \in (ImT^*)^\bot$ and therfore we have $KerT \subseteq (ImT^*)^\bot$. For the other side, consider $0 \neq v \in (ImT^*)^\bot$, (which exists.
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linear algebra - if $T: V\to V$ and $ dim (KerT)+dim (ImT)=dimV $ can i ... Find a basis for KerT and ImT (T is a linear transformation) Ask Question Asked 6 years, 10 months ago Modified 6 years, 10 months ago Find a basis for KerT and ImT (T is a linear transformation) Linear Alegbra - Find Base.
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linear algebra - if $T: V\to V$ and $ dim (KerT)+dim (ImT)=dimV $ can i ... Linear Tranformation that preserves Direct sum $ V = ImT \oplus \ KerT $ Ask Question Asked 13 years, 2 months ago Modified 13 years, 2 months ago Find a basis for KerT and ImT (T is a linear transformation) Why do you.
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Linear Tranformation that preserves Direct sum $ V = ImT \oplus \ KerT $ Ask Question Asked 13 years, 2 months ago Modified 13 years, 2 months ago Find a basis for KerT and ImT (T is a linear transformation) Ask Question Asked 6 years, 10 months ago Modified 6 years, 10 months ago Why do you.
