Solution Found!
Suppose A = uvT is a column times a row (a rank-1 matrix). (a) By multiplying A times u
Chapter 5, Problem 5.2.8(choose chapter or problem)
Suppose A = uvT is a column times a row (a rank-1 matrix). (a) By multiplying A times u, show that u is an eigenvector. What is ? (b) What are the other eigenvalues of A (and why)? (c) Compute trace(A) from the sum on the diagonal and the sum of s.
Questions & Answers
QUESTION:
Suppose A = uvT is a column times a row (a rank-1 matrix). (a) By multiplying A times u, show that u is an eigenvector. What is ? (b) What are the other eigenvalues of A (and why)? (c) Compute trace(A) from the sum on the diagonal and the sum of s.
ANSWER:Step 1 of 4
(a)
The objective is to determine that is an eigenvector of by the associative property of the vector multiplication.