Determine if the $T$ is a linear transformation. $$ T\left(x_{1}, x_{2} ight)=\left(x_{2} \sin (\pi / 4), x_{1} \in (8) ight) $$ The function is a linear transformation. The function is not a linear transformation. If so, identify the matrix $A$ such that $T(x)=A x$. (If the function is not a linear transformation, enter DNE into all cells.) If not, explain why not. The function is a linear transformation. The function is not a linear transformation, since there exist numbers $a, b, c$, and $0$ such that. $T(atc, bud)=\Gamma(a, b)+(c,d) $. The function is not a linear transformation, since there exist numbers $a, b, c$, and $$ such that $T(atc, bud)=\pi(d, b)tr(c,d) $. The flyction is not a linear transformation, since there exist numbers $a, b$, and $c$ such that $T(a(b, c))=a Tb, c)$. The function is not a linear transformation, since there exist numbers $a, b$, and $c$ such that $T(o(b, c))=a Tb, c)$. SP.SD. 304