Answered: 3 6 Let A 335

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Algebra

3 6 Let A 335

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

Question 1) View attached matrix A

a) Show that u = [1 1 1]^Tis not an eigenvector of A.

b) Show that v = [1 −2 1]^T is an eigenvector of A. What is the corresponding eigenvalue?

c) Write a vector x ≠ v such that x is also an eigenvector of A with the same eigenvalue found in part (b).

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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