ELECTRICAL AND ELECTRONIC PRINCIPLES-CIRCUIT THEORY
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 |