Chemical Engineering
Numerical Methods - Eigen Analysis
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Aim
Theory
Pretest
Procedure
Simulation
Posttest
References
Contributors
Feedback
Eigen Analysis - Polynomial Method
Choose difficulty:
Beginner
Intermediate
Advanced
[
16
−
7
−
7
16
]
\begin{bmatrix} 16 & -7 \\ -7 & 16 \end{bmatrix}
[
16
−
7
−
7
16
]
, Find the eigen values.
a:
λ
1
=
20
λ
2
=
11
λ_1 = 20 \quad λ_2 = 11
λ
1
=
20
λ
2
=
11
Explanation
Explanation
b:
λ
1
=
23
λ
2
=
9
λ_1 = 23 \quad λ_2 = 9
λ
1
=
23
λ
2
=
9
Explanation
Explanation
c:
λ
1
=
17
λ
2
=
6
λ_1 = 17 \quad λ_2 = 6
λ
1
=
17
λ
2
=
6
Explanation
Explanation
d:
λ
1
=
19
λ
2
=
14
λ_1 = 19 \quad λ_2 = 14
λ
1
=
19
λ
2
=
14
Explanation
Explanation
[
21
−
3
−
3
21
]
\begin{bmatrix} 21 & -3 \\ -3 & 21 \end{bmatrix}
[
21
−
3
−
3
21
]
a:
λ
1
=
26
λ
2
=
9
λ_1 = 26 \quad λ_2 = 9
λ
1
=
26
λ
2
=
9
Explanation
Explanation
b:
λ
1
=
12
λ
2
=
11
λ_1 = 12 \quad λ_2 = 11
λ
1
=
12
λ
2
=
11
Explanation
Explanation
c:
λ
1
=
24
λ
2
=
18
λ_1 = 24 \quad λ_2 = 18
λ
1
=
24
λ
2
=
18
Explanation
Explanation
d:
λ
1
=
18
λ
2
=
7
λ_1 = 18 \quad λ_2 = 7
λ
1
=
18
λ
2
=
7
Explanation
Explanation
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