How to multiply two symbolic matrices fully?
3 ビュー (過去 30 日間)
古いコメントを表示
Igor Arkhandeev
2021 年 6 月 5 日
コメント済み: Igor Arkhandeev
2021 年 6 月 5 日
I need multiply 2 matrices:
syms epsXX1 epsXX2 epsXY1 epsXY2 epsYY1 epsYY2 epsZZ1 epsZZ2;
eps = [epsXX1 - 1i*epsXX2, epsXY1 - 1i*epsXY2, 0; ...
-(epsXY1 - 1i*epsXY2), epsYY1 - 1i*epsYY2, 0;
0, 0, epsZZ1 - 1i*epsZZ2;];
syms muXX1 muXX2 muXY1 muXY2 muYY1 muYY2 muZZ1 muZZ2;
mu = [muXX1 - 1i*muXX2, muXY1 - 1i*muXY2, 0; ...
-(muXY1 - 1i*muXY2), muYY1 - 1i*muYY2, 0;
0, 0, muZZ1 - 1i*muZZ2;];
eps * mu
Result is follow,
[ (epsXX1 - epsXX2*1i)*(muXX1 - muXX2*1i) - (epsXY1 - epsXY2*1i)*(muXY1 - muXY2*1i), (epsXY1 - epsXY2*1i)*(muXX1 - muXX2*1i) + (epsYY1 - epsYY2*1i)*(muXY1 - muXY2*1i, 0]
[ - (epsXX1 - epsXX2*1i)*(muXY1 - muXY2*1i) - (epsXY1 - epsXY2*1i)*(muYY1 - muYY2*1i), - (epsXY1 - epsXY2*1i)*(muXY1 - muXY2*1i) + (epsYY1 - epsYY2*1i)*(muYY1 - muYY2*1i), 0]
[0, 0, (epsZZ1 - epsZZ2*1i)*(muZZ1 - muZZ2*1i)]
but I need to get its in more simple form:
[(a + b + ..) + (a1 + b1 + ..)+1i, .., ..]
[(a + b + ..) + (a1 + b1 + ..)+1i, .., ..]
[(a + b + ..) + (a1 + b1 + ..)+1i, .., ..]
Is exist some ways to get this?
0 件のコメント
採用された回答
Andreas Apostolatos
2021 年 6 月 5 日
Hi Igor,
I understand that you are seeking to have the components of the resulting matrix from the multiplication expanded. You can use function 'expand' for your needs, see the following documentation page accordingly,
This way, the operation 'expand(eps*mu)' results in the following expanded expression,
[epsXX1*muXX1 - epsXX2*muXX2 - epsXY1*muXY1 + epsXY2*muXY2 - epsXX1*muXX2*1i - epsXX2*muXX1*1i + epsXY1*muXY2*1i + epsXY2*muXY1*1i, epsXX1*muXY1 - epsXX2*muXY2 + epsXY1*muYY1 - epsXY2*muYY2 - epsXX1*muXY2*1i - epsXX2*muXY1*1i - epsXY1*muYY2*1i - epsXY2*muYY1*1i, 0]
[epsXY2*muXX2 + epsXY1*muXX2*1i + epsXY2*muXX1*1i - epsXY1*muXX1 - epsYY1*muXY1 + epsYY1*muXY2*1i + epsYY2*muXY1*1i + epsYY2*muXY2, epsXY2*muXY2 + epsXY1*muXY2*1i + epsXY2*muXY1*1i - epsXY1*muXY1 + epsYY1*muYY1 - epsYY1*muYY2*1i - epsYY2*muYY1*1i - epsYY2*muYY2, 0]
[ 0, 0, epsZZ1*muZZ1 - epsZZ2*muZZ2 - epsZZ1*muZZ2*1i - epsZZ2*muZZ1*1i]
I hope this helps.
Kind regards,
Andreas
その他の回答 (0 件)
参考
カテゴリ
Help Center および File Exchange で Calculus についてさらに検索
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!