Quote:

Then please show me how to do the below questions. Thank you very much.

Determine whether any of the following sets are spanning sets for R^2 , considered as column matrices

1) S = { esub1 = [1] , esub2 = [0]}

........................[0]............. [1]

This is the standard basis for $\displaystyle R^2$, so spans $\displaystyle R^2$. Quote:

2) S = { esub1 = [1] , esub2 = [0], fsub1 = [1]}

........................[0]............. [1].............[1]

This contains the standard basis and so spans $\displaystyle R^2$