True or false (give reasons for your answers) a. Every orthogonal set of vectors is linearly independent. B. Every non-trivial subspace (i.E. Ignore the subspace consisting of only the zero vector) of !3 has an orthogonal basis. C. Projw v ! ( ) is orthogonal to every vector in w. D. If det a = 1 then a is orthogonal.
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TRUE BECAUSE OF THE REASON GIVEN---
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