5 - 1 1 3 Given A = Choose all true statements. I. All roots of characteristic polynomial of A are simple. II. A is not diagonalizable. III. Linearly independent eigenvectors span the R2. IV. (1, 1)" is a basis for the eigenspace. O A. IV, I B. I, II, II O C. IV, II D. I, II, IV O E. none of these

5 - 1 1 3 Given A = Choose all true statements. I. All roots of characteristic polynomial of A are simple. II. A is not diagonalizable. III. Linearly independent eigenvectors span the R2. IV. (1, 1)" is a basis for the eigenspace. O A. IV, I B. I, II, II O C. IV, II D. I, II, IV O E. none of these

Name: WHİCH TRUE ? 5Given A =Choose all true statements.I. All roots of char
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Description: WHİCH TRUE ? 5Given A =Choose all true statements.I. All roots of characteristic polynomial of A are simple. II. A is not diagonalizable.III. Linearly independent eigenvectors span the R2.Iv. (1, 1)" is a basis for the eigenspace.A. IV, IB. I, II, II

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.3: Eigenvalues And Eigenvectors Of N X N Matrices

Problem 6EQ: In Exercises 1-12, compute (a) the characteristic polynomial of A, (b) the eigenvalues of A, (c) a...

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