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Generic matrix testing -- left and right kernel #37913

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Generic matrix testing -- left and right kernel #37913

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4e4ad13
Make generic tests for left and right kernels
jasongrout Aug 15, 2016
a846ef0
Style fixes
mkoeppe May 1, 2024
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32 changes: 32 additions & 0 deletions src/sage/matrix/matrix2.pyx
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Original file line number Diff line number Diff line change
Expand Up @@ -5037,6 +5037,22 @@ cdef class Matrix(Matrix1):
self.cache('right_kernel', K)
return K

def _test_right_kernel(self, **options):
"""
Check that :meth:`right_kernel` works.

EXAMPLES::

sage: a = matrix([[1,2], [3,4]])
sage: a._test_right_kernel()

"""
tester = self._tester(**options)
# At least we'll check that the basis of the kernel kills the matrix
V = self.right_kernel()
tester.assert_(self.ncols() - self.rank() == V.dimension())
tester.assert_((self * V.basis_matrix().transpose()).is_zero())

def left_kernel(self, *args, **kwds):
r"""
Returns the left kernel of this matrix, as a vector space or free module.
Expand Down Expand Up @@ -5193,6 +5209,22 @@ cdef class Matrix(Matrix1):

kernel = left_kernel

def _test_left_kernel(self, **options):
"""
Check that :meth:`left_kernel` works.

EXAMPLES::

sage: a = matrix([[1,2], [3,4]])
sage: a._test_left_kernel()

"""
tester = self._tester(**options)
# At least we'll check that the basis of the kernel kills the matrix
V = self.left_kernel()
tester.assert_(self.nrows() - self.rank() == V.dimension())
tester.assert_((V.basis_matrix() * self).is_zero())

def kernel_on(self, V, poly=None, check=True):
"""
Return the kernel of self restricted to the invariant subspace V.
Expand Down