Hotelling Deflation Assume that the largest eigenvalue 1 in magnitude and an associated eigenvector v(1) have been obtained for the n n symmetric matrix A. Show that the matrix B = A 1 (v(1))tv(1) v(1) (v(1) ) t has the same eigenvalues 2,... ,n as A, except that B has eigenvalue 0 with eigenvector v(1) instead of eigenvector 1. Use this deflation method to find 2 for each matrix in Exercise 5. Theoretically, this method can be continued to find more eigenvalues, but round-off error soon makes the effort worthless.

Chapter 1: Principles of Economics What is economics Economics is the study of how society manages its scarce resources. How do we use graphs in economics We graphs to illustrate the relationship between variables. The following illustrates the negative relationship between price and quantity. As the price decreases the quantity increases – this is a negative relationship...