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How do I turn a system of sympy equations into a matrix form?
For example, how do I turn a system like this:
equation_one = 4*a*x + 3*b*y
equation_two = 2*b*x + 1*a*y
Into a system like this:
matrix_form = ([equation_one, equation_two], [x, y])
That will return this:
[[4*a, 3*b],
[2*b, 1*a]]
Does a function like matrix_form() exist?
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Make sure all equations are in standard form (Ax+By=C) , and use the coefficients of each equation to form each row of the matrix. It may help you to separate the right column with a dotted line. Next, we use the matrix row operations to change the 2×2 matrix on the left side to the identity matrix .
To actually compute the transpose, use the transpose() function, or the . T attribute of matrices. Represents the trace of a matrix expression. Represents a matrix using a function ( Lambda ) which gives outputs according to the coordinates of each matrix entries.
As noted above, simple operations like addition and multiplication are done just by using + , * , and ** . To find the inverse of a matrix, just raise it to the -1 power.
After some searching, I found
sympy.linear_eq_to_matrix(equations, *symbols)
This has solved my problem.
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