Isolate Coefficients of Multivariate Linear Polynomial

Hi, I have a symbolic expression
eqn = r - 2*x +7/4
I would like to isolate the coefficients of the variables (x, r and y (y's coefficient is 0)). How do I do that? I've tried using coeffs but that only lets me specify one variable. It would also be ok if I got two vectors back:
[ -2 , 1 , 7/4]
[x , r , 1]
even if they don't include y. Thanks!

 采纳的回答

If you know that you have only linear terms and only x, r, and y, you could use diff to get the coefficients:
syms x r y
eqn = r - 2*x +7/4;
[diff(eqn, x), diff(eqn, r), diff(eqn, y)]
This gives:
ans =
[ -2, 1, 0]

1 个评论

That doesn't give the independent term, but I can easily find that by subbing 0 for all of the variables. Thanks for the answer!

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更多回答(1 个)

syms x r
eqn = r - 2*x +7/4
coeffs(eqn, [x, r])
ans =
[ 7/4, 1, -2]
Note that coeffs returns the coefficients in increasing order and leaves out zeroes:
>> coeffs(7*x^2*r^2 + 6*x^2*r + 5*x^2 + 4*x*r^2 + 3*x*r + 2*r^2, [x, r])
ans =
[ 2, 3, 4, 5, 6, 7]

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