Hi everyone I want to calculate the determinant of the below matrix "Symbolically" in python
x, y, z, a, b, c = symbols('x,y,z,a,b,c')
arr3 = np.array(([1-a,6,8-x],[2-b,10,12-y],[6-c,3,15-z]))
linalg.det(arr3)
But I get this error :
ValueError Traceback (most recent call last)
<ipython-input-34-fa7fd6eebff6> in <module>
----> 1 linalg.det(arr3)
~\anaconda3\lib\site-packages\scipy\linalg\basic.py in det(a, overwrite_a, check_finite)
1030
1031 """
-> 1032 a1 = _asarray_validated(a, check_finite=check_finite)
1033 if len(a1.shape) != 2 or a1.shape[0] != a1.shape[1]:
1034 raise ValueError('expected square matrix')
~\anaconda3\lib\site-packages\scipy\_lib\_util.py in _asarray_validated(a, check_finite, sparse_ok, objects_ok, mask_ok, as_inexact)
264 if not objects_ok:
265 if a.dtype is np.dtype('O'):
--> 266 raise ValueError('object arrays are not supported')
267 if as_inexact:
268 if not np.issubdtype(a.dtype, np.inexact):
ValueError: object arrays are not supported
I am new so can you tell me how did I make wrong and Can I fix it?
You can't use numpy arrays for symbolical calculations with sympy. Instead, use a sympy Matrix:
import sympy as sp
x, y, z, a, b, c = sp.symbols('x,y,z,a,b,c')
arr3 = sp.Matrix(([1-a,6,8-x],[2-b,10,12-y],[6-c,3,15-z]))
print(sp.det(arr3))
yields
-3*a*y + 10*a*z - 114*a + 3*b*x - 6*b*z + 66*b - 10*c*x + 6*c*y + 8*c + 54*x - 33*y + 2*z - 66