Let $T$ be a linear transformation on a finite dimensional vector space $V$ and let $V_1$ and $V_2$ be subspaces of $V$. then which of the following statements is Corrects ?
$(a)$ $T(V_1\cap V_2) = T(V_1) \cap T(V_2).$
$(b)$ $T(V_1 \cup V_2) = T(V_1) \cup T(V_2).$
My attempts : i know that intersection two subspaces is subspaces and union of two subspace need not to be subspaces
so option $a)$ is correct
option $b)$ is not corrects
Is it true ??