4. Repeat Exercise 1 for -[- A = 7 -2 1 6 4 ]-[#] 12 7 18 -2 1 10-2 -2

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

Q4 solution needed just

1. Let
164
-48
A =
-[
-48
136
Compute, by hand, the eigenvalues and eigenvectors of A, and use them to solve
Ax = b for x (use the "spectral method").
2. Repeat Exercise 1 for
3
-1
A = [ - ³² ], Þ= [ ² ]
} b 1 ·
-1 3
3. Repeat Exercise 1 for
1
0
A =
0
1
b=
1 1
3
4. Repeat Exercise 1 for
b= 12
A =
7
-2
1
-2
1
10 -2
7
³]. b = [ 18 ] ₁
-2
18.
Transcribed Image Text:1. Let 164 -48 A = -[ -48 136 Compute, by hand, the eigenvalues and eigenvectors of A, and use them to solve Ax = b for x (use the "spectral method"). 2. Repeat Exercise 1 for 3 -1 A = [ - ³² ], Þ= [ ² ] } b 1 · -1 3 3. Repeat Exercise 1 for 1 0 A = 0 1 b= 1 1 3 4. Repeat Exercise 1 for b= 12 A = 7 -2 1 -2 1 10 -2 7 ³]. b = [ 18 ] ₁ -2 18.
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