Orthogonal and Orthonormal Sets In Exercises 1-12, (a) determine whether the set of
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Elementary Linear Algebra (MindTap Course List)
- Normalizing an Orthogonal Set In Exercises 13-16, a show that the set of vectors in Rnis orthogonal, and b normalize the set to produce an orthonormal set. {(1,3),(12,4)}arrow_forwardSpanning Sets, Linear Independence and Bases. In Exercises 27-32 determine whether the set a spans R3, b is linearly independent, and c is a basis of R3. S={(1,0,0),(0,1,0),(0,0,1),(2,1,0)}arrow_forwardProof Prove Theorem 4.12. THEOREM 4.12 Basis Tests in an n-Dimensional Space Let V be a vector space of dimension n. 1. If S={v1,v2,,vn} is a linearly independent set of vectors in V, then S is a basis for V. 2. If S={v1,v2,,vn} spans V, then S is a basis for V.arrow_forward
- Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning