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Question 1 Find the characteristic equation of the given matrix. A = 25 3 1 0 4-5 8 0087 000 2 HINT: How do you find the determinant of an upper triangular matrix? (2-A)(5-A)(3-A)(1-A) = 0 (2-A)(4 - A)(8 - x) = 0 (2-1)²(4 - A)(8 - A) = 0 (2 - A)(7 - A)(8 - A)(1-A) = 0

Question 1 Find the characteristic equation of the given matrix. A = 25 3 1 0 4-5 8 0087 000 2 HINT: How do you find the determinant of an upper triangular matrix? (2-A)(5-A)(3-A)(1-A) = 0 (2-A)(4 - A)(8 - x) = 0 (2-1)²(4 - A)(8 - A) = 0 (2 - A)(7 - A)(8 - A)(1-A) = 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question 1 Find the characteristic equation of the given matrix. A = 25 3 1 04-58 0087 0002 HINT: How do you find the determinant of an upper triangular matrix? (2 - A)(5 - A)(3 - A)(1-A) = 0 (2 - A)(4 - A)(8 - x) = 0 (2 - A)²(4 - A)(8 - A) = 0 (2 - A)(7 - A)(8 - x)(1-A) = 0
Transcribed Image Text:Question 1 Find the characteristic equation of the given matrix. A = 25 3 1 04-58 0087 0002 HINT: How do you find the determinant of an upper triangular matrix? (2 - A)(5 - A)(3 - A)(1-A) = 0 (2 - A)(4 - A)(8 - x) = 0 (2 - A)²(4 - A)(8 - A) = 0 (2 - A)(7 - A)(8 - x)(1-A) = 0
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