Biomedical Engineering Reference
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2
4
3 3
p
p
3
3
5 :
13
3 3
p
1
2
T ¼
7
1
p
3
1
8
A.7.3 Construct the eigenvalues and the eigenvectors of the matrix A of tensor
components where
3 3
p
1
4
17
3 3
p
A
¼
:
11
A.7.4 Construct the eigenvalues and the eigenvectors of the matrix A of tensor
components where
2
3
13 2 4
2 02
423
1
3
4
5 :
A
¼
A.7.5 Construct the orthogonal transformation that carries the matrix B of Problem
A.7.3 into its diagonal form.
A.7.6 Construct the eigenvalues and the eigenvectors of the matrix A of tensor
components where
2
3
600
060
006
4
5 :
A
¼
A.7.7 Construct the orthogonal transformation that carries the matrix A of Prob-
lem A.7.5 into its diagonal form.
A.7.8 Construct the eigenvalues and the eigenvectors of the matrix B of tensor
components where
12
11
B
¼
:
What is the angle between the two eigenvectors?
A.7.9 Show that the eigenvalues of the matrix H where
2
4
3
5
123456
2 7 8 9 10 11
3 8 12 13 14 15
4 9 13 16 17 18
5 014 7 9 0
6 115 8 0 1
H
¼
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