I am trying to understand a pre written matlab code. There is a line: dx = -(J \ F);
What does the forward slash mean? Does it mean F divided by J or something?
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That's actually a backward slash. J\F is equivalent to solving the system J dx = F for dx, where J is a matrix (probably a Jacobian) and F and dx are vectors.
In general there will not be enough information to deduce A from B and X. Consider the simple case where B is 1 x 1, X is 2 x 1, and the unknown A is 2 x 2. The matrix equality Y = X\A is overdetermined and has a least squares solution which yields two equations, and the matrix equality Y*X = B will yield only one further equation. This gives three equations and six unknowns for Y and A, which are certainly not sufficient to determine the four unknown elements of A.
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