Determine whether the given set S spans R^3. S = {<2, -1, 0>, <1, 2, -3>, <1, -3

Question

Determine whether the given set S spans R^3.
S = {<2, -1, 0>, <1, 2, -3>, <1, -3, 3>}

Find span(S).

1. S = {<0, -1, 1>, <1, -1, 0>, <1, -1, 1>}
2. S = {<0, -1, 1>, <1, 1, -1>, <-1, 0,0>}
I have to present this problem in class. Please bedetail with the response. Thanks
Determine whether the given set S spans R^3.
S = {<2, -1, 0>, <1, 2, -3>, <1, -3, 3>}

Find span(S).

1. S = {<0, -1, 1>, <1, -1, 0>, <1, -1, 1>}
2. S = {<0, -1, 1>, <1, 1, -1>, <-1, 0,0>}
I have to present this problem in class. Please bedetail with the response. Thanks

Explanation / Answer

{ 2 1 1   -1 2 -3    1 3 3} if you row reduce, you find that it is consistent. so it doesspan r3

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