Consider the subspaces S1={(r,0,t): r,t∈R} and S2={(s,s,0): s∈R} of R^3. Prove that S1⊕S2=R^3.
I am not sure how to show this at all, my teacher didn't give us any examples of this. Would really appreciate some help please.
Consider the subspaces S1={(r,0,t): r,t∈R} and S2={(s,s,0): s∈R} of R^3. Prove that S1⊕S2=R^3.
I am not sure how to show this at all, my teacher didn't give us any examples of this. Would really appreciate some help please.