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Mathematics, 18.08.2020 19:01 karlyisaunicorn

Assume all vectors are in R" Mark each statement True or False. Justify each answer Not every orthogonal set in R" is linearly independent
A True. Every orthogonal set of nonzero vectors is linearly independent but not every orthogonal set is linearly independent.
B. True Orthogonal sets with fewer than n vectors in Rare not linearly independent
C. False. Every orthogonal set of nonzero vectors is linearly independent and zero vectors cannot exist in orthogonal sets
D. False. Orthogonal sets must be linearly independent in order to be orthogonal

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