Answer :
ANSWER
[tex]2v + u = \binom{5}{15}[/tex]
EXPLANATION
It was given that:
[tex]u = \binom{1}{3} [/tex]
and
[tex]v = \binom{2}{6} [/tex]
[tex]2v + u =2 \binom{2}{6} + \binom{1}{3} [/tex]
Perform the scalar multiplication to obtain:
[tex]2v + u = \binom{4}{12} + \binom{1}{3} [/tex]
We add the corresponding components to get;
[tex]2v + u = \binom{4 + 1}{12 + 3}[/tex]
[tex]2v + u = \binom{5}{15}[/tex]
The first choice is correct.