Answer:
[tex]\left[\begin{array}{ccc}9\\10\\\end{array}\right][/tex]
Step-by-step explanation:
Multiply the components of A by 3 then add corresponding components of
3a + b
3[tex]\left[\begin{array}{ccc}2\\4\\\end{array}\right][/tex] + [tex]\left[\begin{array}{ccc}3\\-2\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}6\\12\\\end{array}\right][/tex] + [tex]\left[\begin{array}{ccc}3\\-2\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}6+3\\12-2\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}9\\10\\\end{array}\right][/tex]
