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Two vectors are linearly dependent if and only if they lie on a line through the origin. a. true b. false

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asked Jan 22, 2024 7.7k views

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Two vectors are linearly dependent if and only if they lie on a line through the origin.

a. true b. false

Mathematics
high-school

Tamas Hegedus asked

by Tamas Hegedus

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1 Answer

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True

If they lie on a line through the origin
->the origin, the zero vector, is in their span
=>they are linearly dependent.

Paul Richards answered Jan 27, 2024

by Paul Richards

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Two vectors are linearly dependent if and only if they lie on a line through the origin. a. true b. false

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