Graphics Programs Reference
In-Depth Information
6.
L
L
i
1
i
2
i
2
C
C
i
3
i
1
i
3
C
L
Kirchoff'slawsfor the electriccircuit are
LC
d
2
i
1
dt
2
3
i
1
−
i
2
−
i
3
=−
LC
d
2
i
2
dt
2
−
i
1
+
i
2
=−
LC
d
2
i
3
dt
2
Compute the circular frequencies of the circuit and the relative amplitudes of the
loop currents.
7. Compute the matrix
A
∗
that results fromannihilation of
A
14
and
A
41
in the matrix
−
i
1
+
i
3
=−
⎡
⎣
⎤
⎦
−
4
1
0 1
−
16
−
2 0
A
=
0
−
232
1
0
2 4
by a Jacobi rotation.
8.
Use the Jacobi method to determine the eigenvalues and eigenvectorsof
⎡
⎣
⎤
⎦
4
−
1
−
2
=
A
−
133
−
231
9.
Find the eigenvalues and eigenvectorsof
⎡
⎣
⎤
⎦
4
−
21
−
1
−
−
2
4
21
A
=
1
−
2
4
−
2
−
11
−
2
4
with the Jacobi method.
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