diff --git a/CHANGELOG.md b/CHANGELOG.md
index addf21992..cbb52a7fe 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -2,6 +2,13 @@
 
 ## Unreleased
 ### Added
+### Fixed
+### Changed
+- MatrixVariable supported to compare with Expr
+### Removed
+
+## 5.6.0 - 2025.08.26
+### Added
 - More support for AND-Constraints
 - Added support for knapsack constraints
 - Added isPositive(), isNegative(), isFeasLE(), isFeasLT(), isFeasGE(), isFeasGT(), isHugeValue(), and tests
diff --git a/src/pyscipopt/expr.pxi b/src/pyscipopt/expr.pxi
index 2fc56f5cb..eaec9fa7c 100644
--- a/src/pyscipopt/expr.pxi
+++ b/src/pyscipopt/expr.pxi
@@ -44,15 +44,7 @@
 # Modifying the expression directly would be a bug, given that the expression might be re-used by the user. </pre>
 include "matrix.pxi"
 
-def _is_number(e):
-    try:
-        f = float(e)
-        return True
-    except ValueError: # for malformed strings
-        return False
-    except TypeError: # for other types (Variable, Expr)
-        return False
-        
+
 def _expr_richcmp(self, other, op):
     if op == 1: # <=
         if isinstance(other, Expr) or isinstance(other, GenExpr):
@@ -62,7 +54,7 @@ def _expr_richcmp(self, other, op):
         elif isinstance(other, MatrixExpr):
             return _expr_richcmp(other, self, 5)
         else:
-            raise NotImplementedError
+            raise TypeError(f"Unsupported type {type(other)}")
     elif op == 5: # >=
         if isinstance(other, Expr) or isinstance(other, GenExpr):
             return (self - other) >= 0.0
@@ -71,7 +63,7 @@ def _expr_richcmp(self, other, op):
         elif isinstance(other, MatrixExpr):
             return _expr_richcmp(other, self, 1)
         else:
-            raise NotImplementedError
+            raise TypeError(f"Unsupported type {type(other)}")
     elif op == 2: # ==
         if isinstance(other, Expr) or isinstance(other, GenExpr):
             return (self - other) == 0.0
@@ -80,7 +72,7 @@ def _expr_richcmp(self, other, op):
         elif isinstance(other, MatrixExpr):
             return _expr_richcmp(other, self, 2)
         else:
-            raise NotImplementedError
+            raise TypeError(f"Unsupported type {type(other)}")
     else:
         raise NotImplementedError("Can only support constraints with '<=', '>=', or '=='.")
 
@@ -201,7 +193,7 @@ cdef class Expr:
         elif isinstance(right, MatrixExpr):
             return right + left
         else:
-            raise NotImplementedError
+            raise TypeError(f"Unsupported type {type(right)}")
 
         return Expr(terms)
 
@@ -218,7 +210,7 @@ cdef class Expr:
             # TypeError: Cannot convert pyscipopt.scip.SumExpr to pyscipopt.scip.Expr
             return buildGenExprObj(self) + other
         else:
-            raise NotImplementedError
+            raise TypeError(f"Unsupported type {type(other)}")
 
         return self
 
@@ -334,26 +326,26 @@ cdef class ExprCons:
     def __richcmp__(self, other, op):
         '''turn it into a constraint'''
         if op == 1: # <=
-           if not self._rhs is None:
-               raise TypeError('ExprCons already has upper bound')
-           assert not self._lhs is None
+            if not self._rhs is None:
+                raise TypeError('ExprCons already has upper bound')
+            assert not self._lhs is None
 
-           if not _is_number(other):
-               raise TypeError('Ranged ExprCons is not well defined!')
+            if not _is_number(other):
+                raise TypeError('Ranged ExprCons is not well defined!')
 
-           return ExprCons(self.expr, lhs=self._lhs, rhs=float(other))
+            return ExprCons(self.expr, lhs=self._lhs, rhs=float(other))
         elif op == 5: # >=
-           if not self._lhs is None:
-               raise TypeError('ExprCons already has lower bound')
-           assert self._lhs is None
-           assert not self._rhs is None
+            if not self._lhs is None:
+                raise TypeError('ExprCons already has lower bound')
+            assert self._lhs is None
+            assert not self._rhs is None
 
-           if not _is_number(other):
-               raise TypeError('Ranged ExprCons is not well defined!')
+            if not _is_number(other):
+                raise TypeError('Ranged ExprCons is not well defined!')
 
-           return ExprCons(self.expr, lhs=float(other), rhs=self._rhs)
+            return ExprCons(self.expr, lhs=float(other), rhs=self._rhs)
         else:
-            raise TypeError
+            raise NotImplementedError("Ranged ExprCons can only support with '<=' or '>='.")
 
     def __repr__(self):
         return 'ExprCons(%s, %s, %s)' % (self.expr, self._lhs, self._rhs)
diff --git a/src/pyscipopt/matrix.pxi b/src/pyscipopt/matrix.pxi
index 0548fbd10..bafdd9e1e 100644
--- a/src/pyscipopt/matrix.pxi
+++ b/src/pyscipopt/matrix.pxi
@@ -6,6 +6,7 @@
 import numpy as np
 from typing import Union
 
+
 def _is_number(e):
     try:
         f = float(e)
@@ -15,6 +16,33 @@ def _is_number(e):
     except TypeError: # for other types (Variable, Expr)
         return False
 
+
+def _matrixexpr_richcmp(self, other, op):
+    def _richcmp(self, other, op):
+        if op == 1: # <=
+            return self.__le__(other)
+        elif op == 5: # >=
+            return self.__ge__(other)
+        elif op == 2: # ==
+            return self.__eq__(other)
+        else:
+            raise NotImplementedError("Can only support constraints with '<=', '>=', or '=='.")
+
+    res = np.empty(self.shape, dtype=object)
+    if _is_number(other) or isinstance(other, Expr):
+        for idx in np.ndindex(self.shape):
+            res[idx] = _richcmp(self[idx], other, op)
+
+    elif isinstance(other, np.ndarray):
+        for idx in np.ndindex(self.shape):
+            res[idx] = _richcmp(self[idx], other[idx], op)
+
+    else:
+        raise TypeError(f"Unsupported type {type(other)}")
+
+    return res.view(MatrixExprCons)
+
+
 class MatrixExpr(np.ndarray):
     def sum(self, **kwargs):
         """
@@ -24,51 +52,15 @@ class MatrixExpr(np.ndarray):
         res = super().sum(**kwargs)
         return res if res.size > 1 else res.item()
 
-    def __le__(self, other: Union[float, int, Variable, np.ndarray, 'MatrixExpr']) -> np.ndarray:
-        
-        expr_cons_matrix = np.empty(self.shape, dtype=object)
-        if _is_number(other) or isinstance(other, Variable):
-            for idx in np.ndindex(self.shape):
-                expr_cons_matrix[idx] = self[idx] <= other
-        
-        elif isinstance(other, np.ndarray):
-            for idx in np.ndindex(self.shape):
-                expr_cons_matrix[idx] = self[idx] <= other[idx]    
-        else:
-            raise TypeError(f"Unsupported type {type(other)}")
+    def __le__(self, other: Union[float, int, Expr, np.ndarray, 'MatrixExpr']) -> MatrixExprCons:
+        return _matrixexpr_richcmp(self, other, 1)
 
-        return expr_cons_matrix.view(MatrixExprCons)
+    def __ge__(self, other: Union[float, int, Expr, np.ndarray, 'MatrixExpr']) -> MatrixExprCons:
+        return _matrixexpr_richcmp(self, other, 5)
 
-    def __ge__(self, other: Union[float, int, Variable, np.ndarray, 'MatrixExpr']) -> np.ndarray:
-        
-        expr_cons_matrix = np.empty(self.shape, dtype=object)
-        if _is_number(other) or isinstance(other, Variable):
-            for idx in np.ndindex(self.shape):
-                expr_cons_matrix[idx] = self[idx] >= other
-        
-        elif isinstance(other, np.ndarray):
-            for idx in np.ndindex(self.shape):
-                expr_cons_matrix[idx] = self[idx] >= other[idx]    
-        else:
-            raise TypeError(f"Unsupported type {type(other)}")
+    def __eq__(self, other: Union[float, int, Expr, np.ndarray, 'MatrixExpr']) -> MatrixExprCons:
+        return _matrixexpr_richcmp(self, other, 2)
 
-        return expr_cons_matrix.view(MatrixExprCons)
-
-    def __eq__(self, other: Union[float, int, Variable, np.ndarray, 'MatrixExpr']) -> np.ndarray:
-        
-        expr_cons_matrix = np.empty(self.shape, dtype=object)
-        if _is_number(other) or isinstance(other, Variable):
-            for idx in np.ndindex(self.shape):
-                expr_cons_matrix[idx] = self[idx] == other
-        
-        elif isinstance(other, np.ndarray):
-            for idx in np.ndindex(self.shape):
-                expr_cons_matrix[idx] = self[idx] == other[idx]    
-        else:
-            raise TypeError(f"Unsupported type {type(other)}")
-
-        return expr_cons_matrix.view(MatrixExprCons)
-    
     def __add__(self, other):
         return super().__add__(other).view(MatrixExpr)
     
@@ -104,41 +96,11 @@ class MatrixGenExpr(MatrixExpr):
 
 class MatrixExprCons(np.ndarray):
 
-    def __le__(self, other: Union[float, int, Variable, MatrixExpr]) -> np.ndarray:
-       
-        if not _is_number(other) or not isinstance(other, MatrixExpr):
-                raise TypeError('Ranged MatrixExprCons is not well defined!')
-
-        expr_cons_matrix = np.empty(self.shape, dtype=object)
-        if _is_number(other) or isinstance(other, Variable):
-            for idx in np.ndindex(self.shape):
-                expr_cons_matrix[idx] = self[idx] <= other
-        
-        elif isinstance(other, np.ndarray):
-            for idx in np.ndindex(self.shape):
-                expr_cons_matrix[idx] = self[idx] <= other[idx]    
-        else:
-            raise TypeError(f"Unsupported type {type(other)}")
-
-        return expr_cons_matrix.view(MatrixExprCons)
-
-    def __ge__(self, other: Union[float, int, Variable, MatrixExpr]) -> np.ndarray:
-        
-        if not _is_number(other) or not isinstance(other, MatrixExpr):
-                raise TypeError('Ranged MatrixExprCons is not well defined!')
-                
-        expr_cons_matrix = np.empty(self.shape, dtype=object)
-        if _is_number(other) or isinstance(other, Variable):
-            for idx in np.ndindex(self.shape):
-                expr_cons_matrix[idx] = self[idx] >= other
-        
-        elif isinstance(other, np.ndarray):
-            for idx in np.ndindex(self.shape):
-                expr_cons_matrix[idx] = self[idx] >= other[idx]    
-        else:
-            raise TypeError(f"Unsupported type {type(other)}")
+    def __le__(self, other: Union[float, int, np.ndarray]) -> MatrixExprCons:
+        return _matrixexpr_richcmp(self, other, 1)
 
-        return expr_cons_matrix.view(MatrixExprCons)
+    def __ge__(self, other: Union[float, int, np.ndarray]) -> MatrixExprCons:
+        return _matrixexpr_richcmp(self, other, 5)
 
     def __eq__(self, other):
-        raise TypeError
+        raise NotImplementedError("Cannot compare MatrixExprCons with '=='.")
diff --git a/tests/test_matrix_variable.py b/tests/test_matrix_variable.py
index 0308bb694..e3086198c 100644
--- a/tests/test_matrix_variable.py
+++ b/tests/test_matrix_variable.py
@@ -392,3 +392,41 @@ def test_matrix_cons_indicator():
     assert m.getVal(is_equal).sum() == 2
     assert (m.getVal(x) == m.getVal(y)).all().all()
     assert (m.getVal(x) == np.array([[5, 5, 5], [5, 5, 5]])).all().all()
+
+
+def test_matrix_compare_with_expr():
+    m = Model()
+    var = m.addVar(vtype="B", ub=0)
+
+    # test "<=" and ">=" operator
+    x = m.addMatrixVar(3)
+    m.addMatrixCons(x <= var + 1)
+    m.addMatrixCons(x >= var + 1)
+
+    # test "==" operator
+    y = m.addMatrixVar(3)
+    m.addMatrixCons(y == var + 1)
+
+    m.setObjective(x.sum() + y.sum())
+    m.optimize()
+
+    assert (m.getVal(x) == np.ones(3)).all()
+    assert (m.getVal(y) == np.ones(3)).all()
+
+
+def test_ranged_matrix_cons_with_expr():
+    m = Model()
+    var = m.addVar(vtype="B", ub=0)
+
+    # test "==" operator
+    with pytest.raises(NotImplementedError):
+        m.addMatrixCons((m.addMatrixVar(3) <= 1) == var + 1)
+
+    # test "<=" and ">=" operator
+    x = m.addMatrixVar(3)
+    m.addMatrixCons((x <= 1) >= 1)
+
+    m.setObjective(x.sum())
+    m.optimize()
+
+    assert (m.getVal(x) == np.ones(3)).all()