Answer:
4th option
Step-by-step explanation:
3 [tex]\left[\begin{array}{ccc}2\\-1\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}0\\-1.5\\\end{array}\right][/tex] ← multiply the components of the first matrix by 3
= [tex]\left[\begin{array}{ccc}6\\-3\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}0\\-1.5\\\end{array}\right][/tex] ← subtract corresponding components
= [tex]\left[\begin{array}{ccc}6-0\\-3-(-1.5)\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}6\\-3+1.5\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}6\\-1.5\\\end{array}\right][/tex]
