# Thread: Dimension and Span of M_22

1. ## Dimension and Span of M_22

Let S = { ( 1 2 1 2) , (1 0 1 1), (0 2 0 1), (1 0 0 1)}

where these matricies ar 2x2 and the 1st 2 numbers are the top left to right, and the last 2 numbers are the bottom left to right (stacked).

What is the dimesnsion of Span S?

Does Span S = M_22 = the vector space of all 2x2 real matricies?

Prove.