diff --git a/linear_algebra/src/lib.py b/linear_algebra/src/lib.py
index 5af6c62e3..0d6a34847 100644
--- a/linear_algebra/src/lib.py
+++ b/linear_algebra/src/lib.py
@@ -46,7 +46,6 @@ class Vector:
         change_component(pos: int, value: float): changes specified component
         euclidean_length(): returns the euclidean length of the vector
         angle(other: Vector, deg: bool): returns the angle between two vectors
-        TODO: compare-operator
     """
 
     def __init__(self, components: Collection[float] | None = None) -> None:
@@ -96,6 +95,16 @@ class Vector:
         else:  # error case
             raise Exception("must have the same size")
 
+    def __eq__(self, other: object) -> bool:
+        """
+        performs the comparison between two vectors
+        """
+        if not isinstance(other, Vector):
+            return NotImplemented
+        if len(self) != len(other):
+            return False
+        return all(self.component(i) == other.component(i) for i in range(len(self)))
+
     @overload
     def __mul__(self, other: float) -> Vector: ...