Let A =

and assume that det A = 3.

Compute:

det(2c^-1) where C =

I'm getting an answer of 1/3, which is wrong. The answer is 4/9.

The troubles I'm having you can read about right HERE. I know how to do everything, but I'm obviously just making a small mistake.

One specific question I would like to ask, is how do I remove the 2 from inside the det() brackets? I haven't been shown an example of that, and can't find one.

Thanks!