Answered: Let A = 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3…

Let A = 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 a. Explain why 0 is an eigenvalue of A b. Find vector v, w E R4 such that A = vwT c. Find another eigenvalue of A and a corresponding eigenvector.

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 9EQ: In Exercises 7-12, show that is an eigenvector of A and find one eigenvector corresponding to this...

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Question

8. Let A =

1	2	3	4
1	2	3	4
1	2	3	4
1	2	3	4

a. Explain why 0 is an eigenvalue of A

b. Find vector v, w E R⁴such that A = vw^T

c. Find another eigenvalue of A and a corresponding eigenvector.

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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