You asked several questions. I will just answer some of them. Use the same method to solve the rest.

2 vectors spans `RR^2` iff they are linearly independant iff their determinant is not 0.

Let's find their determinant.

For 2 vectors (a,c) and (b, d) their determinant is

`det([[a,b],[c,d]])=ad-bc`

a)`det([[1,-2],[1,-2])=(-2)-(-2)=0`

They are linearly dependant, they don't span `RR^2`

b) `det([1,1],[1,2]])=2-1=1ne0`

They are linearly independant, they do span `RR^2`

Find the determinant of the other vectors using the formula, compare the result to 0 and find that the vectors of c) span `RR^2`

but not the vectors of d).

**The sets b) and c) span** `RR^2`

**Second question.** To span `RR^3` , you need at least 3 vectors. You have only sets of 2 vectors therefore **no sets of 2 vectors will span** `RR^3`

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