Is the set of vectors in R^4 with v1+2v2=0 and 3v3+4v4=0 a vector space? (Give a reason.) If your answer is yes, find the dimension and a basis.

Kirsten Mcintyre

Kirsten Mcintyre

Answered question

2022-09-02

Is the set of vectors in R^4 with v1+2v2=0 and 3v3+4v4=0 a vector space? (Give a reason.) If your answer is yes, find the dimension and a basis.

Answer & Explanation

Gabriela Werner

Gabriela Werner

Beginner2022-09-03Added 11 answers

no this is not a vector space cause the given components are not lineary independent and hence do not forn a basis

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