Adding all project files

venv/Lib/site-packages/sympy/matrices/expressions/factorizations.py

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+from sympy.matrices.expressions import MatrixExpr
+from sympy.assumptions.ask import Q
+
+class Factorization(MatrixExpr):
+    arg = property(lambda self: self.args[0])
+    shape = property(lambda self: self.arg.shape)  # type: ignore
+
+class LofLU(Factorization):
+    @property
+    def predicates(self):
+        return (Q.lower_triangular,)
+class UofLU(Factorization):
+    @property
+    def predicates(self):
+        return (Q.upper_triangular,)
+
+class LofCholesky(LofLU): pass
+class UofCholesky(UofLU): pass
+
+class QofQR(Factorization):
+    @property
+    def predicates(self):
+        return (Q.orthogonal,)
+class RofQR(Factorization):
+    @property
+    def predicates(self):
+        return (Q.upper_triangular,)
+
+class EigenVectors(Factorization):
+    @property
+    def predicates(self):
+        return (Q.orthogonal,)
+class EigenValues(Factorization):
+    @property
+    def predicates(self):
+        return (Q.diagonal,)
+
+class UofSVD(Factorization):
+    @property
+    def predicates(self):
+        return (Q.orthogonal,)
+class SofSVD(Factorization):
+    @property
+    def predicates(self):
+        return (Q.diagonal,)
+class VofSVD(Factorization):
+    @property
+    def predicates(self):
+        return (Q.orthogonal,)
+
+
+def lu(expr):
+    return LofLU(expr), UofLU(expr)
+
+def qr(expr):
+    return QofQR(expr), RofQR(expr)
+
+def eig(expr):
+    return EigenValues(expr), EigenVectors(expr)
+
+def svd(expr):
+    return UofSVD(expr), SofSVD(expr), VofSVD(expr)