TR_part2_TOEC/matrix6.tex at main · chibixar/TR_part2_TOEC · GitHub

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\documentclass{article}
\usepackage{amsmath}
\begin{document}

\textbf{6. Определяем токи в ветвях исходной схемы методом законов Кирхгофа}

\begin{align*}
Z_1 &:= 89 + 47i & Z_2 &:= 44 \\
Z_3 &:= -22i & Z_4 &:= 81i \\
Z_5 &:= 55 - 27i & Z_6 &:= -30i \\
Z_7 &:= 63 - 42i \\
E_5 &:= -15.460 + 34.710i & J_6 &:= -3.910 - 5.800i
\end{align*}

\[
A1 := \begin{pmatrix}
1 & -1 & 0 & 0 & 0 & 0 & -1 \\
0 & 1 & -1 & 0 & 0 & 0 & 0 \\
0 & 0 & 1 & -1 & 0 & 0 & 0 \\
0 & 0 & 0 & 1 & -1 & 0 & 1 \\
0 & 0 & 0 & 0 & 1 & -1 & 0 \\
0 & Z_2 & Z_3 & Z_4 & 0 & 0 & -Z_7 \\
Z_1 & 0 & 0 & 0 & Z_5 & Z_6 & Z_7
\end{pmatrix}
\]

\[
B1 := \begin{pmatrix} 0 \\ 0 \\ 0 \\ 0 \\ J_6 \\ 0 \\ E_5 \end{pmatrix}
\]

\[
x := A1^{-1} \cdot B1 = \begin{pmatrix}
-0.976 + 0.779i \\
-0.132 + 0.863i \\
-0.132 + 0.863i \\
-0.132 + 0.863i \\
-0.976 + 0.779i \\
2.938 + 6.582i \\
-0.844 - 0.087i
\end{pmatrix}
\]

\end{document}