Question

. If t:V→V' is the zero homomorphism then find im(t). ​

Answer 1

Answer:

t,=2

Step-by-step explanation:

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Answer 2

Answer:

Image of  zero homomorphism is additive identity element in V'.

Step-by-step explanation:

Given that $t:V\to V'$ is the zero homomorphism. That is

$t(v)=0, \ \ v\in V$

Every element in $V$ maps to the zero element in $V'$. So image of every element is just the zero element in $V'$. So

$Image(t)=\{0\}$, where $0$ denotes the identity element in $V'$.

The identity element or zero in the space is nothing but the additive identity.