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## Homework Statement

Show that the following are subspaces of R^m :

(a) The set of all linear combinations of the vectors (1,0,1,0) and (0,1,0,1) (of R^4)

(b) The set of all vectors of the form (a,b,a-b,a+b) of R^4

## Homework Equations

## The Attempt at a Solution

(a) If (1,0,1,0) and (0,1,0,1) span R^4 , they are subspaces.

(b) {a(1,0,1,1) + b(0,1,-1,1) | a,b [tex]\in[/tex]R}

= span {(1,0,1,1) , (0,1,-1,1)}

Are my answers incomplete ?