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If {v1, v2, v3, v4} is a linearly-independent subset of a vector space V over the...

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Advance Math

If {v1, v2, v3, v4} is a linearly-independent subset of avector space V over the field Q, is the
set {3v1 + 2v2 + v3 + v4, 2v1 + 5v2, 3v3 + 2v4, 3v1 + 4v2 +2v3 + 3v4} linearly independent as well?

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