Which of the following statements are true? Enter them in increasing order. For example, if only statements S2 and S4 are true, you would enter 2,4 S1: It is impossible for each eigenspace of a 5x5 matrix to have an even number of dimensions S2: If det(A)=0 then A cannot be invertible S3: The intersection of any two eigenspaces of the same matrix is the zero vector S4: A 3x3 matrix may have a characteristic polynomial of degree 4 S5: A 4x4 matrix can have up to 6 different eigenvalues S6: Only square matrices can have eigenvalues

Which of the following statements are true? Enter them in increasing order. For example, if only statements S2 and S4 are true, you would enter 2,4 S1: It is impossible for each eigenspace of a 5x5 matrix to have an even number of dimensions S2: If det(A)=0 then A cannot be invertible S3: The intersection of any two eigenspaces of the same matrix is the zero vector S4: A 3x3 matrix may have a characteristic polynomial of degree 4 S5: A 4x4 matrix can have up to 6 different eigenvalues S6: Only square matrices can have eigenvalues

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section: Chapter Questions

Problem 1RQ

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