
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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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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