Question

1. Prove that if {⃗v1, ⃗v2, ⃗v3} is a linear dependent set of vectors in V...

1. Prove that if {⃗v1, ⃗v2, ⃗v3} is a linear dependent set of vectors in V , and if ⃗v4 ∈ V , then {⃗v1, ⃗v2, ⃗v3, ⃗v4} is

also a linear dependent set of vectors in V .

2. Prove that if {⃗v1,⃗v2,...,⃗vr} is a linear dependent set of vectors in V, and if⃗ vr + 1 ,⃗vr+2,...,⃗vn ∈V, then

{⃗v1,⃗v2,...,⃗vn} is also a linear dependent set of vectors in V.

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