Bit stuck step by step much appreciated decide if each is a basis for r^3 (1) , (3) (2) , (2) (3) , (1) and (0), (1), (0) (2), (1), (0) (-1), (1), (0) help much appreciated
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Originally Posted by adam_leeds Bit stuck step by step much appreciated decide if each is a basis for r^3 (1) , (3) (2) , (2) (3) , (1) and (0), (1), (0) (2), (1), (0) (-1), (1), (0) help much appreciated The first one cannot be a basis for it has 2 elements. A basis for $\displaystyle \mathbb{R}^3$ will need 3 elements. And the second one cannot be a basis for it contains the zero vector.
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