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How Can I solve this equations system?
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K.a+M.b=L.b
P.a+ Q .b=R.a
I have the equations above and I am trying to find a and b. All capital letters are constants. How can I solve this problem in Matlab?
Thanks
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Walter Roberson
2014-2-25
Do the "." represent multiplication? Are the elements all scalars or are they matrices?
If everything is scalar and "." represents ordinary multiplication, then the solution is a = 0, b = 0.
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Walter Roberson
2014-2-27
I ran it through Maple and did some testing. You aren't going to be able to get a symbolic solution, I don't think.
You have a difficulty in the equations. Look carefully at the log() terms. One of them is log(8*cos(beta) - 9). For all real beta, 8*cos(beta)-9 is negative, ranging from -17 to -1. Thus you are introducing a complex term. Getting rid of that requires precise cancellation of all of the complex terms in the equation, which is pretty tricky to achieve.
Now if the alpha and beta are permitted to be complex then getting a solution numerically would be easier.
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