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Posted on Sep 29, 2024

If v 1 , dots, v 4 are in R 4 and { v 1 , v 2 , v 3 } is linearly dependent,

v_{1},

dots,

v_{4}

are in

R^{4}

and

{v_{1}, v_{2}, v_{3}}

is linearly dependent, theien

{v_{1}, v_{2}, v_{3}, v_{4}}

is also linearly dependent.

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