Question

Asked Feb 3, 2020

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Please solve this linear algebra question for me.

Step 1

We are given that v_{1}, v_{2}, v_{3}, v_{4}, v_{5} are linearly independent in F^{8}.

We need to show that v_{1}, v_{2}, v_{3}, v_{4}, v_{5,} w are linearly dependent if and only if w ∈ span (v_{1}, v_{2}, v_{3}, v_{4}, v_{5}).

Step 2

Let us first take v1, v2, v3, v4, v5, w are linearly dependent.

Now we need to show that w ∈ span (v1, v2...

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