Check the true statements below: A. The orthogonal projection of y onto v is the same as the orthogonal projection of y onto cv whenever c≠0. B. If the columns of an m×n matrix A are orthonormal, then the linear mapping x→Ax preserves lengths. C. If a set S={u1,...,up} has the property that ui⋅uj=0 whenever i≠j, then S is an orthonormal set. D. Not every orthogonal set in Rn is a linearly independent set. E. An orthogonal matrix is invertible.

Check the true statements below: A. The orthogonal projection of y onto v is the same as the orthogonal projection of y onto cv whenever c≠0. B. If the columns of an m×n matrix A are orthonormal, then the linear mapping x→Ax preserves lengths. C. If a set S={u1,...,up} has the property that ui⋅uj=0 whenever i≠j, then S is an orthonormal set. D. Not every orthogonal set in Rn is a linearly independent set. E. An orthogonal matrix is invertible.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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