Solution Found!
If A = QQ T is symmetric positive definite, then R = Q Q T is its symmetric positive
Chapter 6, Problem 6.2.7(choose chapter or problem)
QUESTION:
If A = QQ T is symmetric positive definite, then R = Q Q T is its symmetric positive definite square root. Why does R have positive eigenvalues? Compute R and verify R 2 = A for A = " 10 6 6 10# and A = " 10 6 6 10#
Questions & Answers
QUESTION:
If A = QQ T is symmetric positive definite, then R = Q Q T is its symmetric positive definite square root. Why does R have positive eigenvalues? Compute R and verify R 2 = A for A = " 10 6 6 10# and A = " 10 6 6 10#
ANSWER:Step 1 of 7
Given that,
Find the eigenvalues and eigenvectors of A as below.
The eigenvalues of A are 4 and 16.