Question

How would I solve this?

Answer 1

-
`(1)/(2)`

Explanation:

Given the 2 by 2 matrix

`\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right]`

The determinant = ad - bc

For the given matrix

a =
`(1)/(2)`, b =
`(√(3) )/(2)`, c =
`(√(3) )/(2)`, d =
`(1)/(2)` , thus

ad - bc =
`(1)/(2)` ×
`(1)/(2)` - (
`(√(3) )/(2)` ×
`(√(3) )/(2)` ) =
`(1)/(4)` -
`(3)/(4)` = -
`(1)/(2)`