Is it REALLY all that different from 4-vectors? What would you answer if this were the case? (Note: You may have to define multiplication a little differently.)
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.
Where do I start with these 2x2 matricies??
Thanks!