Problem with Matrix normalized() and Matrix norm()

[Massimo Biber]

>>> from sympy import *

>>> v=symbols('v:3',real=True);v

(v0, v1, v2)

>>> V=Matrix(v);V

Matrix([

[v0],

[v1],

[v2]])

>>> U=V.normalized()

>>> U

Matrix([

[v0/sqrt(v0**2 + v1**2 + v2**2)],

[v1/sqrt(v0**2 + v1**2 + v2**2)],

[v2/sqrt(v0**2 + v1**2 + v2**2)]])

>>> U.norm()

sqrt(v0**2/(-v0**2 - v1**2 - v2**2) + v1**2/(-v0**2 - v1**2 - v2**2) + v2**2/(-v0**2 - v1**2 - v2**2))

>>> _.simplify()

I

Why is U.norm() not equal 1?

[Aaron Meurer]

I opened an issue for this https://github.com/sympy/sympy/issues/11413.

Aaron Meurer

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