diff --git a/leetCode/matrix/search-a-2d-matrix.py b/leetCode/matrix/search-a-2d-matrix.py
new file mode 100644
index 0000000..4e482e8
--- /dev/null
+++ b/leetCode/matrix/search-a-2d-matrix.py
@@ -0,0 +1,34 @@
+# https://leetcode.com/problems/search-a-2d-matrix/
+class Solution:
+    def searchMatrix(self, matrix: List[List[int]], target: int) -> bool:
+        if len(matrix) == 0 or len(matrix[0]) == 0:
+            return False
+        
+        low_l = 0
+        high_l = len(matrix) - 1
+
+        while low_l <= high_l:
+            mid_l = low_l + (high_l - low_l) // 2
+
+            if matrix[mid_l][0] == target:
+                return True
+            elif matrix[mid_l][0] < target:
+                if mid_l + 1 >= len(matrix) or matrix[mid_l + 1][0] > target:
+                    break
+                low_l = mid_l + 1
+            else:
+                high_l = mid_l - 1
+        
+        low_c = 0
+        high_c = len(matrix[0]) - 1
+
+        while low_c <= high_c:
+            mid_c = low_c + (high_c - low_c) // 2
+            if matrix[mid_l][mid_c] == target:
+                return True
+            elif matrix[mid_l][mid_c] < target:
+                low_c = mid_c + 1
+            else:
+                high_c = mid_c - 1
+        
+        return False