diff --git a/lib/matrix.rb b/lib/matrix.rb
index 026492b..81492ef 100644
--- a/lib/matrix.rb
+++ b/lib/matrix.rb
@@ -1274,31 +1274,31 @@ class Matrix
   alias conj conjugate
 
   #
-  # Returns the imaginary part of the matrix.
+  # Returns the real part of the matrix.
   #   Matrix[[Complex(1,2), Complex(0,1), 0], [1, 2, 3]]
   #     => 1+2i  i  0
   #           1  2  3
-  #   Matrix[[Complex(1,2), Complex(0,1), 0], [1, 2, 3]].imaginary
-  #     =>   2i  i  0
-  #           0  0  0
+  #   Matrix[[Complex(1,2), Complex(0,1), 0], [1, 2, 3]].real
+  #     =>    1  0  0
+  #           1  2  3
   #
-  def imaginary
-    collect(&:imaginary)
+  def real
+    collect(&:real)
   end
-  alias imag imaginary
 
   #
-  # Returns the real part of the matrix.
+  # Returns the imaginary part of the matrix.
   #   Matrix[[Complex(1,2), Complex(0,1), 0], [1, 2, 3]]
   #     => 1+2i  i  0
   #           1  2  3
-  #   Matrix[[Complex(1,2), Complex(0,1), 0], [1, 2, 3]].real
-  #     =>    1  0  0
-  #           1  2  3
+  #   Matrix[[Complex(1,2), Complex(0,1), 0], [1, 2, 3]].imaginary
+  #     =>   2i  i  0
+  #           0  0  0
   #
-  def real
-    collect(&:real)
+  def imaginary
+    collect(&:imaginary)
   end
+  alias imag imaginary
 
   #
   # Returns an array containing matrices corresponding to the real and imaginary