Answer:
A
Step-by-step explanation:
Multiply each component of the matrices by the scalar, that is
[tex]\left[\begin{array}{ccc}-4a\\-4b\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}180\\-510\\\end{array}\right][/tex]
Equate corresponding elements, that is
- 4a = 180 ⇒ a = - 45
- 4b = - 510 ⇒ b = 127.5
Hence
[tex]\frac{a}{b}[/tex] = [tex]\frac{45}{127.5}[/tex] = - [tex]\frac{6}{17}[/tex] → A
