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how to solve a system of equations?

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P
P 2011-5-31
I have this system: J(21x21) * X(21x1)=J(21X21) * B(21x1) - F(21X1).
I have to calculate the matrix X without using the 'inv' function X=inv(A) * J * B - A, X must have this dimension(21x1) .
The matrix J,B,F are calculated.

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回答（1 个）

Matt Fig
Matt Fig 2011-5-31
% Choose some values:
J = rand(21);
B = rand(21,1);
F = rand(21,1);
% Calculate X based on J*X = J*B-F
X = J\(J*B-F) % Here is what you want...
% Now check:
max(abs(J*X - (J*B-F))) % This should be a small number.

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