Arrange the matrices in increasing order of their determinant values.

c, a, b

Step-by-step explanation:

Given

See attachment for matrices

(a)

The determinant of the matrix is:

Using trigonometry ratio, we have:

(b)

The determinant of the matrix is:

(c)

The determinant of the matrix is:

In complex numbers

So:

So, the order of the determinants is: c, a, b

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225