m This question has four parts. Answer each part correctly to get the next part. We will solve the system - Az for A= First, list the eigenvalues of A: 5,-1,-13 B Part 2 of 4 For the eigenvalues A₁ =-5, ₂ - 3, and A3 = 5 list corresponding eigenvectors ₁, 2, 3 as columns in a matrix E = U12 V3, scaling eigenvectors so the entries are integers (not decimals). 2 -1 2 4 -2 One possible answer is 12 201 1 0 10 0 1 Find the inverse E¹ of the matrix E- = 11 16 07 -8-13 0 using a matrix exponential. -20-40 5 12 -5, 3,5 X -1 -2 01 1 0 0 1 Question Help: Video Message instructor D Post to forum Submit Part Y Part 3 of 4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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DES
nd
sform
Homework 3.8
Score: 0.1/4 0/2 answered
Question 1
11 16 07
We will solve the system - Az for A= -8 -13 0 using a matrix exponential.
-20-40 5
This question has four parts. Answer each part correctly to get
the next part.
First, list the eigenvalues of A: 5,-1,-13
o
1
-1
Y
2
Part 2 of 4
For the eigenvalues A₁-5, ₂-3, and A3 = 5 list corresponding eigenvectors 1, 2, 3 as columns in
a matrix Ev1 V2 V3, scaling eigenvectors so the entries are integers (not decimals).
=
2
-1
0
< >
4
-2
1
One possible answer is
-1
1
2
-2 0 X
1 0
0
1
-5, 3, 5
Find the inverse E¹ of the matrix E=
-1 -2
01
1 1 0
2
01
Question Help: Video Message instructor Post to forum
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▬▬
Y
Q Search
Part 1 of 4
▼
Part 3 of 4
C
Transcribed Image Text:DES nd sform Homework 3.8 Score: 0.1/4 0/2 answered Question 1 11 16 07 We will solve the system - Az for A= -8 -13 0 using a matrix exponential. -20-40 5 This question has four parts. Answer each part correctly to get the next part. First, list the eigenvalues of A: 5,-1,-13 o 1 -1 Y 2 Part 2 of 4 For the eigenvalues A₁-5, ₂-3, and A3 = 5 list corresponding eigenvectors 1, 2, 3 as columns in a matrix Ev1 V2 V3, scaling eigenvectors so the entries are integers (not decimals). = 2 -1 0 < > 4 -2 1 One possible answer is -1 1 2 -2 0 X 1 0 0 1 -5, 3, 5 Find the inverse E¹ of the matrix E= -1 -2 01 1 1 0 2 01 Question Help: Video Message instructor Post to forum Submit Part ▬▬ Y Q Search Part 1 of 4 ▼ Part 3 of 4 C
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