diff --git a/include/rotgen/impl/matrix_impl64.hpp b/include/rotgen/impl/matrix_impl64.hpp
index 07a3fce..0764624 100644
--- a/include/rotgen/impl/matrix_impl64.hpp
+++ b/include/rotgen/impl/matrix_impl64.hpp
@@ -36,6 +36,13 @@ namespace rotgen
     void resize(std::size_t new_rows, std::size_t new_cols);
     void conservativeResize(std::size_t new_rows, std::size_t new_cols);
 
+    matrix_impl64 transpose() const;
+    matrix_impl64 conjugate() const;
+    matrix_impl64 adjoint() const;
+
+    void transposeInPlace();
+    void adjointInPlace();
+
     double&       operator()(std::size_t i, std::size_t j);
     double const& operator()(std::size_t i, std::size_t j) const;
 
diff --git a/include/rotgen/matrix.hpp b/include/rotgen/matrix.hpp
index 9c78d00..febe15b 100644
--- a/include/rotgen/matrix.hpp
+++ b/include/rotgen/matrix.hpp
@@ -60,6 +60,25 @@ namespace rotgen
       parent::conservativeResize(new_rows, new_cols);
     }
 
+    matrix transpose() const
+    {
+      return matrix(static_cast<parent const&>(*this).transpose());
+    }
+
+    matrix conjugate() const
+    {
+      return matrix(static_cast<parent const&>(*this).conjugate());
+    }
+
+    matrix adjoint() const
+    {
+      return matrix(static_cast<parent const&>(*this).adjoint());
+    }
+
+    void transposeInPlace() { parent::transposeInPlace(); }
+
+    void adjointInPlace() { parent::adjointInPlace(); }
+
     friend bool operator==(matrix const& lhs, matrix const& rhs)
     {
       return static_cast<parent const&>(lhs) == static_cast<parent const&>(rhs);
diff --git a/src/matrix_impl64.cpp b/src/matrix_impl64.cpp
index 658b22c..40d616b 100644
--- a/src/matrix_impl64.cpp
+++ b/src/matrix_impl64.cpp
@@ -76,6 +76,36 @@ namespace rotgen
 
   const double* matrix_impl64::data() const { return storage_->data.data(); }
 
+  matrix_impl64 matrix_impl64::transpose() const
+  {
+    matrix_impl64 result(*this);
+    result.storage_->data = storage_->data.transpose();
+    return result;
+  }
+
+  matrix_impl64 matrix_impl64::conjugate() const
+  {
+    matrix_impl64 result(*this);
+    result.storage_->data = storage_->data.conjugate();
+    return result;
+  }
+
+  matrix_impl64 matrix_impl64::adjoint() const
+  {
+    matrix_impl64 result(*this);
+    result.storage_->data = storage_->data.adjoint();
+    return result;
+  }
+
+  void matrix_impl64::transposeInPlace()
+  {
+    storage_->data.transposeInPlace();
+  }
+  void matrix_impl64::adjointInPlace()
+  {
+    storage_->data.adjointInPlace();
+  }
+
   //==================================================================================================
   // Operators
   //==================================================================================================
diff --git a/test/basic/arithmetic_functions.cpp b/test/basic/arithmetic_functions.cpp
new file mode 100644
index 0000000..8d8ad26
--- /dev/null
+++ b/test/basic/arithmetic_functions.cpp
@@ -0,0 +1,63 @@
+//==================================================================================================
+/*
+  ROTGEN - Runtime Overlay for Eigen
+  Copyright : CODE RECKONS
+  SPDX-License-Identifier: BSL-1.0
+*/
+//==================================================================================================
+#define TTS_MAIN
+#include <rotgen/matrix.hpp>
+#include "tts.hpp"
+
+template <typename MatrixType>
+struct MatrixDescriptor
+{
+  std::size_t rows, cols;
+  std::function<void(MatrixType &, std::size_t, std::size_t)> init_fn;
+};
+
+template <typename MatrixType>
+void test_matrix_unary_ops(std::size_t rows, std::size_t cols,
+                           const std::function<void(MatrixType &, std::size_t, std::size_t)> &init_fn)
+{
+
+  MatrixType original(rows, cols);
+  MatrixType transposed_matrix(cols, rows);
+
+  for (std::size_t r = 0; r < rows; ++r)
+    for (std::size_t c = 0; c < cols; ++c)
+      init_fn(original, r, c);
+
+  for (std::size_t r = 0; r < rows; ++r)
+    for (std::size_t c = 0; c < cols; ++c)
+      transposed_matrix(c, r) = original(r, c);
+
+  TTS_EQUAL(original.transpose(), transposed_matrix);
+  TTS_EQUAL(original.conjugate(), original);
+  TTS_EQUAL(original.adjoint(), transposed_matrix);
+
+  original.transposeInPlace();
+  TTS_EQUAL(original, transposed_matrix);
+
+  original.transposeInPlace();
+  original.adjointInPlace();
+  TTS_EQUAL(original, transposed_matrix);
+}
+
+TTS_CASE("Matrix unary operations: transpose, adjoint, conjugate")
+{
+  std::vector<MatrixDescriptor<rotgen::matrix<double>>> test_matrices = {
+      {3, 3, [](auto& m, std::size_t r, std::size_t c) { m(r, c) = r + 3 * c - 2.5; }},
+      {4, 9, [](auto& m, std::size_t r, std::size_t c) { m(r, c) = r*r + 3.12 * c + 6.87; }},
+      {2, 7, [](auto& m, std::size_t r, std::size_t c) { m(r, c) = 1.1 * (r - c); }},
+      {1, 5, [](auto &m, std::size_t r, std::size_t c) { m(r, c) = 9.99; }},
+      {4, 2, [](auto& m, std::size_t r, std::size_t c) { m(r, c) = 0.0; }},
+      {3, 3, [](auto& m, std::size_t r, std::size_t c) { m(r, c) = (r == c) ? 1.0 : 0.0; }},
+      {2, 2, [](auto& m, std::size_t r, std::size_t c) { m(r, c) = (r + c) * 1e-10; }},
+      {2, 2, [](auto& m, std::size_t r, std::size_t c) { m(r, c) = (r + 1) * 1e+10; }},
+  };
+
+  for (auto const &desc : test_matrices)
+    test_matrix_unary_ops<rotgen::matrix<double>>(desc.rows, desc.cols, desc.init_fn);
+};
+