Let A be a 3×3 symmetric matrix. Assume that A has three eigenvalues: A1 = -1, A2 = 2, and A3 = 5. The vectors vị and v2 given below, are eigenvectors of A corresponding, respectively, to A1 and A2: Vi = -1 V2 = Find a non-zero vector v3 which is an eigenvector of A corresponding to d3. Enter the vector v3 in the form [c1, c2 , C3]:

Let A be a 3×3 symmetric matrix. Assume that A has three eigenvalues: A1 = -1, A2 = 2, and A3 = 5. The vectors vị and v2 given below, are eigenvectors of A corresponding, respectively, to A1 and A2: Vi = -1 V2 = Find a non-zero vector v3 which is an eigenvector of A corresponding to d3. Enter the vector v3 in the form [c1, c2 , C3]:

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.4: The Singular Value Decomposition

Problem 26EQ

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