-1 4 and b = 1 2 Let A = (a) . 'Find the orthogonal projection of b onto Col A. Use your answer in part a to find the least squares solution to Ax = b. In particular, do (b) NOT use the normal equations since A has orthogonal columns. Use the weights on the basis vectors in order to find the least squares solution. (c) What is the least squares error in the approximation to the solution of Ax = b?
-1 4 and b = 1 2 Let A = (a) . 'Find the orthogonal projection of b onto Col A. Use your answer in part a to find the least squares solution to Ax = b. In particular, do (b) NOT use the normal equations since A has orthogonal columns. Use the weights on the basis vectors in order to find the least squares solution. (c) What is the least squares error in the approximation to the solution of Ax = b?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 24EQ
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