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My friend is trying to decide whether the following set of vectors is linearly independent in the vectorspace Matgxg (JR): 1 0 l 2 1

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My friend is trying to decide whether the following set of vectors is linearly independent in the vectorspace Matgxg (JR): 1 0 l 2 1 2 1 2 0 0 ' 0 0 ' 3 0 ' 3 4 They have the following attempts. Attempt 1. Since 0E+\"Eh=B= this is a linearly independent set of vectors. Attempt 2. Since 0E+uh\"== this is a linearly dependent set of vectors. Attempt 3. The rst two matrices in the set have determinant zero. Therefore, this is a linearly dependent set. Which attempts are correct? You can say that there is no correct attempt, there is only one correct attempt or there are multiple correct attempts. If you think that there is no correct attempt, then give a correct solution. If you think that there is at least one correct attempt, give an alternative correct solution

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