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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

Algebra and Trigonometry (6th Edition)
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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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
Transcribed Image Text: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
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