Answer by proving or giving a counter example for the statement: if A is an nxn matrix with non-negative eigenvalues, then (x^T) (A ) (x) > 0
Answer by proving or giving a counter example for the statement: if A is an nxn matrix with non-negative eigenvalues, then (x^T) (A ) (x) > 0
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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please answer only for real number eigenvalues no imaginary numbers included in any of the solution, thanks in advance!
Transcribed Image Text:39) Proof:
Answer by proving or giving a counter example for the statement:
if A is an nxn matrix with non-negative eigenvalues, then
(x^T) (A) (x) > 0
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