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Wrong matrix multiplication answer

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Joao
Joao 2014-10-12
回答： Image Analyst 2014-10-12
Hi,
This multiplication gets a wrong answer:
E=[Eopt(1) 0];
coupler=[sqrt(0.9) 1i*sqrt(0.1);1i*sqrt(0.1) sqrt(0.9)];
Eout=coupler*E(1);
The answer:
Eout =
9.4868 + 0.0000i -0.0000 + 3.1623i
-0.0000 + 3.1623i 9.4868 + 0.0000i
I am multiplying a 2x2 with a 2x1 matrix, so the result should be a 2x1 matrix.
Why is that?
Thanks

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采纳的回答

Guillaume
Guillaume 2014-10-12
No, you are multiplying a 2x2 matrix with a scalar, the first element of E.
Did you mean?
Eout = coupler * E;

更多回答（1 个）

Image Analyst
Image Analyst 2014-10-12
E(1) is a scalar = just a single number. Try this:
Eopt = 3 % Whatever....
E=[Eopt(1) 0]
coupler=[sqrt(0.9) 1i*sqrt(0.1);1i*sqrt(0.1) sqrt(0.9)]
Eout= E * coupler % E is now a matrix and on the left.

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