9.17. Find a 2x 2 matrix A whose characteristic polynomial is given by det(A - AI) = 2² + 32 +5.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.CM: Cumulative Review
Problem 10CM: Find ATA for the matrix A=[531246]. Show that this product is symmetric.
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I'm currently encountering challenges in solving this problem using matrix notation exclusively, and I'm seeking your guidance. The problem specifically demands a solution using matrix notation alone, without incorporating any other methods. Could you please provide me with a comprehensive, step-by-step explanation in matrix notation to assist me in solving the problem and reaching the final solution?

 

N
9.17. Find a 2x2 matrix A whose characteristic polynomial is given by det(A -
AI) = 2² + 32 +5.
Transcribed Image Text:N 9.17. Find a 2x2 matrix A whose characteristic polynomial is given by det(A - AI) = 2² + 32 +5.
9.17 Tr(A) = -3 and det(A) = 5. One such matrix is A
T
T
-3 -5
1
Transcribed Image Text:9.17 Tr(A) = -3 and det(A) = 5. One such matrix is A T T -3 -5 1
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