1. ## dimension

Hi, i need some help in understanding the following question:

Let V be the vector space of all 2x2 matrices over a field F. Show that V has dimension 4 over F.

2. ## Re: dimension

Try to find a basis for V.

3. ## Re: dimension

Originally Posted by alexmahone
Try to find a basis for V.
ok, to find a basis for V, i must show that it is linearly independent and that it spans the vector space.

but where and how do i start to do this?

4. ## Re: dimension

Originally Posted by ibnashraf
ok, to find a basis for V, i must show that it is linearly independent and that it spans the vector space.

but where and how do i start to do this?
How about four 2x2 matrices, each with one 1 (at each position) and three 0's?