A 3x3 square matrix.
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Methods
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__add__
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__add__ ( self, other )
Return M + N.
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__cofactor
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__cofactor (
self,
i,
j,
)
Return the cofactor for the (i, j)-th element.
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__cofactorSign
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__cofactorSign (
self,
i,
j,
)
Compute (-1)^(i + j) to help in determining cofactors.
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__div__
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__div__ ( self, scalar )
Return M/r.
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__eq__
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__eq__ ( self, other )
Return M == N.
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__ge__
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__ge__ ( self, other )
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__getitem__
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__getitem__ ( self, index )
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__gt__
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__gt__ ( self, other )
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__init__
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__init__ (
self,
a,
b,
c,
d,
e,
f,
g,
h,
i,
)
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__le__
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__le__ ( self, other )
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__len__
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__len__ ( self )
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__lt__
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__lt__ ( self, other )
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__minorDeterminant
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__minorDeterminant ( self, minor )
Find the determinant of a 2x2 matrix represented as
a 4-tuple.
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__mul__
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__mul__ ( self, scalar )
Return M r.
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__ne__
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__ne__ ( self, other )
Return M != N.
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__neg__
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__neg__ ( self )
Return -1 M.
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__pow__
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__pow__ ( self, exponent )
Return M^n.
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Exceptions
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TypeError, "exponent must be integral"
ValueError, "exponent must be positive; use .inverse for inversions"
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__rmul__
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__rmul__ ( self, scalar )
Return r M.
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__str__
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__str__ ( self )
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__sub__
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__sub__ ( self, other )
Return M - N.
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adjoint
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adjoint ( self )
Return adj M.
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column
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column ( self, index )
Get the nth column as a vector.
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columns
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columns ( self )
Return the columns of the matrix as a sequence of vectors.
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concatenate
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concatenate ( self, other )
Return M1 M2.
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determinant
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determinant ( self )
Return the determinant of the matrix, det M.
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inverse
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inverse ( self )
Return M^-1 where M M^-1 = M^-1 M = I.
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isDiagonal
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isDiagonal ( self )
Are only the elements on the diagonal nonzero?
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isSingular
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isSingular ( self )
Is the matrix singular?
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row
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row ( self, index )
Get the nth row as a vector.
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rows
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rows ( self )
Return the rows of the matrix as a sequence of vectors.
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trace
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trace ( self )
Return the trace of the matrix, tr M.
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transform
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transform ( self, vector )
Return v M.
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transpose
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transpose ( self )
Return the transpose of the matrix, M^T.
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