ELECTRICAL AND ELECTRONIC PRINCIPLES-CIRCUIT THEORY

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complexmatixbydecomposition1.xls
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3x3 matrix

To solve the complex matrix equation [Z][I] = [V] for [I]
Decomposed complex matrix [Z] = [R] + j[X]
[R] [X] [I] [V]
6.000 -4.000 0.000 1.27 -1.27 0.00 6.39E-01 -9.61E-01 24.000 0.000
4.000 -12.000 0.000 +j 1.27 6.73 -8.00 x -4.66E+00 +j 2.39E-01 = 0.000 +j 0.000
0.001 0.001 0.001 0.00 -8.00 8.00 -4.66E+00 -7.26E+00 60.000 0.000
Solution
Det[R] = -0.056 Det[X] = 0
In polar form
1.15E+00 Ð -56.36
0 4.67E+00 Ð 177.06
8.63E+00 Ð -122.69
Enter your data in these highlighted cells

A non-singular

C D
0.2087379461 -0.0728428293 -0.0728420586 -0.024614228 -0.0061558689 -0.0061649741
0.0728598209 -0.1068251043 -0.1068252949 0.0061520238 0.0015385779 0.0015252247
0.0728613541 -0.106824715 -0.1068092761 0.0061963311 0.0015027663 -0.1235105848
0.2087379461 -0.0728428293 -0.0728420586 -0.024614228 -0.0061558689 -0.0061649741
0.0728598209 -0.1068251043 -0.1068252949 0.0061520238 0.0015385779 0.0015252247
0.0728613541 -0.106824715 -0.1068092761 0.0061963311 0.0015027663 -0.1235105848

B non-singular

C D I
0 0 0 0 0 0 1 0 0
0 0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 0 1