diff --git a/lib/matrix.rb b/lib/matrix.rb
index 6853be8..8f57c73 100644
--- a/lib/matrix.rb
+++ b/lib/matrix.rb
@@ -614,7 +614,7 @@ class Matrix
   #
   def hermitian?
     Matrix.Raise ErrDimensionMismatch unless square?
-    each_with_index(:strict_upper).all? do |e, row, col|
+    each_with_index(:upper).all? do |e, row, col|
       e == rows[col][row].conj
     end
   end
diff --git a/test/matrix/test_matrix.rb b/test/matrix/test_matrix.rb
index 26248e5..2f48f35 100644
--- a/test/matrix/test_matrix.rb
+++ b/test/matrix/test_matrix.rb
@@ -246,6 +246,19 @@ class TestMatrix < Test::Unit::TestCase
     assert_raise(ArgumentError) { @m1.minor(0) }
   end
 
+  def test_hermitian?
+    i = Complex::I
+    assert(Matrix[[-2,   -3-i,   3+i  ],
+                  [-3+i,  3,    -5-7*i],
+                  [ 3-i, -5+7*i, 9    ]].hermitian?)
+    assert(!Matrix[[-2,   -3-i,   3+i  ],
+                   [-3+i,  3,     4-8*i],
+                   [ 3-i,  4-8*i, 9    ]].hermitian?)
+    assert(!Matrix[[-2,   -3-i,   3+i  ],
+                   [-3+i,  3,    -5-7*i],
+                   [ 3-i, -5+7*i, 9-4*i]].hermitian?)
+  end
+
   def test_regular?
     assert(Matrix[[1, 0], [0, 1]].regular?)
     assert(Matrix[[1, 0, 0], [0, 1, 0], [0, 0, 1]].regular?)