Question

Help solve this matrix question

Answer 1

A

Explanation:

Multiply each component of the matrices by the scalar, that is

`\left[\begin{array}{ccc}-4a\\-4b\\\end{array}\right]` =
`\left[\begin{array}{ccc}180\\-510\\\end{array}\right]`

Equate corresponding elements, that is

- 4a = 180 ⇒ a = - 45

- 4b = - 510 ⇒ b = 127.5

Hence

`(a)/(b)` =
`(45)/(127.5)` = -
`(6)/(17)` → A

Answer 2

The correct answer is A -6/17