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Asked Feb 3, 2020
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Please solve this linear algebra question for me.

3. Suppose v1, V2, V3, V4, V5 is linearly independent in F°. Show that v1, v2, V3, V4, V5, W
is linearly dependent if and only if w E span (v1, v2, V3, V4, V5).
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3. Suppose v1, V2, V3, V4, V5 is linearly independent in F°. Show that v1, v2, V3, V4, V5, W is linearly dependent if and only if w E span (v1, v2, V3, V4, V5).

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Expert Answer

Step 1

We are given that v1, v2, v3, v4, v5 are linearly independent in F8.

We need to show that v1, v2, v3, v4, v5, w are linearly dependent if and only if w ∈ span (v1, v2, v3, v4, v5).

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...

Advanced Math homework question answer, step 2, image 1
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