Simplify matrix of symbolic equations

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Philipp Kutschmann 2022-6-13

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https://ww2.mathworks.cn/matlabcentral/answers/1739415-simplify-matrix-of-symbolic-equations

回答： Torsten 2022-6-14

Hi,

I have an array M with symbolic equations in each field. For example: M(1, 1) = -w2^2 -w3^2 +1.

Additionally I know that norm(w) == 1 (with w = [w1, w2, w3]).

Therefore I could simplify M(1, 1) to just w1^2.

How do I get MATLB to this for me? I have tried to use 'solve' and 'simplify' for this task but didn't figure out how to specify the inputs correctly. I also tried using assumptions.

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Philipp Kutschmann 2022-6-14

在 MATLAB Online 中打开

ok, I have constructed a even more minimal example:

syms x1 x2 f1 f2
f1 = x1 + x2 == 1
f2 = 2*x1 + 3*x2

normally I could simplify f2 to f2 = x2 + 2 by rearaning f1 and plugging it in for x1. I wasn't able to find a Matlab function that does that for me. Simplify only let's you take one input function and Solve seems to give me random values for x1 and x2 that satisfy f1.

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