Question

Need help with a fields proof in Linear Algebra

Answer 1

Hint: It's great that you're giving an overview of what you're working on, but it would be even better if you posted the actual question.

Answer 2

Show that the group F (attached) is a field.

Answer 3

probably you need to show these properties
http://en.wikipedia.org/wiki/Field_(mathematics)#Definition_and_illustration

Answer 4

there's a similar Q ... this might help
http://mathhelpforum.com/advanced-algebra/156406-prove-matrix-w-field.html

Answer 5

I will try to use these links. Thank you.

Answer 6

I was trying to figure it out.
I'm trying to prove the multiplication assosiaction axiom in matrix. but I know matrix multiplication isn't assosicative and I also managed to prove it using the matrix appears in the attached image, see:
\[\left[\begin{matrix}a & b \\ -b & a\end{matrix}\right] * \left[\begin{matrix}x1 & x2 \\ x3 & x4\end{matrix}\right] !=\left[\begin{matrix}x1 & x2 \\ x3 & x4\end{matrix}\right] * \left[\begin{matrix}a & b \\ -b & a\end{matrix}\right]\]

What am I missing?