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- import sympy
- x = sympy.Symbol("x")
- y = sympy.Symbol("y")
- m = sympy.Matrix([[sympy.cos(x), sympy.sin(x)], [-sympy.sin(x), sympy.cos(x)]])
- m = sympy.Matrix([[1, x], [y, 1]])
- m = sympy.Matrix([[0, 1], [-1, 0]])
- print(m)
- print(repr(m))
- print(sympy.simplify(m.det()))
- print(m.inv())
- print(m ** -1)
- f = sympy.Matrix(m.inv()).row(0)[0]
- print(sympy.simplify(f))
- print(m ** 2)
- print(sympy.simplify(m ** 4))
- print(sympy.simplify(m.eigenvals()))
- print(sympy.simplify(m.eigenvects()))
- p, d = m.diagonalize()
- print(m.charpoly())
- print(p)
- print(d)
- print(sympy.simplify(p * d * p.inv()))
- i = sympy.solve(x**4 - 1, x)[3]
- print(type(sympy.solve(x**4 - 1, x)[3]))
- e = sympy.Eq((x-2)**3, x - y)
- print(sympy.solve(e, x))
- print(sympy.solve(x ** 4 - 1, x))
- print(sympy.factor(x ** 4 - 3 * x**2 + 1, modulus=11))
- print(sympy.solve(x * x + x ** 3 < 3))
- print(sympy.solve(x**3 + x**2 - 3, x))
- print(sympy.satisfiable((x | y) & (x | ~y) & y))
- f = sympy.Symbol("f")
- print(sympy.latex(f(x, y).diff(*[x, 3])))
- f = x ** 4 + x ** 2 + sympy.exp(x ** 4)
- g = f.subs(x ** 2, y)
- print(g.diff(y))
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