Question

How would I solve this?

Answer 1

Answer:

- $\frac{1}{2}$

Step-by-step 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 = $\frac{1}{2}$, b = $\frac{\sqrt{3} }{2}$, c = $\frac{\sqrt{3} }{2}$, d = $\frac{1}{2}$ , thus

ad - bc = $\frac{1}{2}$ × $\frac{1}{2}$ - ( $\frac{\sqrt{3} }{2}$ × $\frac{\sqrt{3} }{2}$ ) = $\frac{1}{4}$ - $\frac{3}{4}$ = - $\frac{1}{2}$