A Moving to another question will save this response. Question 3 Find the characteristic equation of the given matrix. Recall that characteristic equation is Det(A-Al)=0. Also recall that for upper and lower triangular matrix, determinant is the product of the diagonal. [2531 A= U4-5 S HINT: Recall that characteristic equation is Det(A-AI)=0. Also recall that for upper and lower triangular matrix, determinant is the product of the diagonal. 0 o 8 7 00 0 2 O (2 - A)(5 - A)(3 - A)(1 - A) = 0 O (2 - A)(7 - A)(8 - A)(1 - A) = 0 O (2- A)2(4 - A(8 - A) = 0 O (2- A)(4 - A)(8 - A) = 0 A Moving to another question will save this response.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter11: Matrices And Determinants
Section11.CR: Chapter Review
Problem 11CC
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A Moving to another question will save this response.
Question 3
Find the characteristic equation of the given matrix. Recall that characteristic equation is Det(A-Al)-0. Also recall that for upper and lower triangular matrix, determinant is the product of the diagonal.
[25 3 1]
0 4-5 S
A =
0 0 8 7
HINT: Recall that characteristic equation is Det(A-AI)=D0. Also recall that for upper and lower triangular matrix, determinant is the product of the diagonal.
0 0 0 2
O (2 - A)(5 - A)(3 - A)(1 - A) = 0
O (2-A)(7 - A)(8 - A)(1 - A) = 0
O (2 - A)2(4 - A)(8 - A) = 0
O (2 - A)(4 - A)(8 - A) = 0
A Moving to another question will save this response.
15
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Transcribed Image Text:A Moving to another question will save this response. Question 3 Find the characteristic equation of the given matrix. Recall that characteristic equation is Det(A-Al)-0. Also recall that for upper and lower triangular matrix, determinant is the product of the diagonal. [25 3 1] 0 4-5 S A = 0 0 8 7 HINT: Recall that characteristic equation is Det(A-AI)=D0. Also recall that for upper and lower triangular matrix, determinant is the product of the diagonal. 0 0 0 2 O (2 - A)(5 - A)(3 - A)(1 - A) = 0 O (2-A)(7 - A)(8 - A)(1 - A) = 0 O (2 - A)2(4 - A)(8 - A) = 0 O (2 - A)(4 - A)(8 - A) = 0 A Moving to another question will save this response. 15 DSO 48°F Cloudy Inp f8 fg prt sc 13 米 f5 f6 #. 2$ & 个 96
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