Question 14 Suppose that A is a 2 x 2 matrix having eigevalues and A2 where A 12. Which of the following statements must be true? i) A is diagonalizable. ii) if V1 is an eigenvector for A1, and V2 is an eigenvector for A2, then {V1, V2} is a basis for R. iii) if V1 is an eigenvector forA1, and V2 is an eigenvector for A2, then {V1, V2} is an grthogonal set. i) and ii) only i) and iii) only i), ii), and iii) i) only i) only

Question 14 Suppose that A is a 2 x 2 matrix having eigevalues and A2 where A 12. Which of the following statements must be true? i) A is diagonalizable. ii) if V1 is an eigenvector for A1, and V2 is an eigenvector for A2, then {V1, V2} is a basis for R. iii) if V1 is an eigenvector forA1, and V2 is an eigenvector for A2, then {V1, V2} is an grthogonal set. i) and ii) only i) and iii) only i), ii), and iii) i) only i) only

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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