Execute the Gram-Schmidt process on the following two vectors to find an orthonormal basis set: v1=(2,2),v2=(5,0). After normalization, we have two new vectors u1=(x1,y1) and u2=(x2,y2).

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.1: Introduction To Eigenvalues And Eigenvectors
Problem 36EQ: Consider again the matrix A in Exercise 35. Give conditions on a, b, c, and d such that A has two...
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The eigenvalues of a 4x4 matrix, A, are 5,3,3, and 1.

Execute the Gram-Schmidt process on the following two vectors to find an orthonormal basis set: v1=(2,2),v2=(5,0). After normalization, we have two new vectors u1=(x1,y1) and u2=(x2,y2).

a) What is the trace, i.e. sum of the diagonal entries, of matrix A?
b)What is the second largest eigenvalue of A2
 
c)What is the largest eigenvalue of A−1?
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