2. Let u e R™ and v E R be two non-zero vectors, in other words at least one component of the vectors is non-zero. Let A = uv'E R™Xn. (a) Suppose ||u||2 = 1 and ||v||l2 = 1. Show that the Frobenius norm of A is equal to 1.
2. Let u e R™ and v E R be two non-zero vectors, in other words at least one component of the vectors is non-zero. Let A = uv'E R™Xn. (a) Suppose ||u||2 = 1 and ||v||l2 = 1. Show that the Frobenius norm of A is equal to 1.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.2: Inner Product Spaces
Problem 101E: Consider the vectors u=(6,2,4) and v=(1,2,0) from Example 10. Without using Theorem 5.9, show that...
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