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Exercise:
Let w_...w_nin V s.t. Spv_...v_nV and let vin V. Then vw_..v_n are linearly depent.

Solution:
Proof. Write va_w_+...+a_nw_n for some a_...a_nin K. Longrightarrow - v+a_w_+...+a_nw_n.
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Exercise:
Let w_...w_nin V s.t. Spv_...v_nV and let vin V. Then vw_..v_n are linearly depent.

Solution:
Proof. Write va_w_+...+a_nw_n for some a_...a_nin K. Longrightarrow - v+a_w_+...+a_nw_n.
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Tags
basis, eth, hs22, lineare algebra, proof, span
Difficulty
(2, default)
Points
0 (default)
Language
ENG (English)
Type
Proof
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