For the following question, given a pseudorandom generator$($PRG$)G$:$\{0,1{\}}^n\{0,1{\}}^m.$

Define $G_1(s)$:$=G(s)||G(s),$ i$.$e$.,$ the new function $G_1(*)$ runs $G$ twice on the same seed and concatenates the outputs. Is $G_1(*)$ a PRG$?$ Briefly explain why.

Edit Format TableFor the following question, given a pseudorandom generator$($PRG$)G$:$\{0,1{\}}^n\{0,1{\}}^m.$

Define $G_1(s)$:$=G(s)||G(s),$ i$.$e$.,$ the new function $G_1(*)$ runs $G$ twice on the same seed and concatenates the outputs. Is $G_1(*)$ a PRG$?$ Briefly explain why.

Edit Format Table