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+/******************************************************************/
+/* This file is part of the homework assignments for CSCI-427/527 */
+/* at The College of William & Mary and authored by Pieter Peers. */
+/* No part of this file, whether altered or in original form, can */
+/* be distributed or used outside the context of CSCI-427/527     */
+/* without consent of either the College of William & Mary or     */
+/* Pieter Peers.                                                  */
+/******************************************************************/
+#ifndef _MAT3D_H_
+#define _MAT3D_H_
+
+#include <array>
+#include <ostream>
+
+#include "vec3d.h"
+
+class mat3d {
+ public:
+  /////////////
+  // Typedef //
+  /////////////
+  typedef float                                      value_type;
+  typedef value_type&                                reference;
+  typedef const value_type&                          const_reference;
+  typedef std::array<value_type,9>::iterator         iterator;
+  typedef std::array<value_type,9>::const_iterator   const_iterator;
+  typedef std::size_t                                difference;
+  typedef std::size_t                                size_type;
+
+  /////////////////
+  // Constructor //
+  /////////////////
+  mat3d(void);                                              // all elements are set to 0
+  explicit mat3d(value_type diag);                          // all elements are set to 0, the diagonal elements are set to 'diag'
+  mat3d(const vec3d& X, const vec3d& Y, const vec3d& Z);    // set columns to X, Y, and Z
+  mat3d(const mat3d& m);                                    // copy constructor
+
+  ////////////////
+  // Inspectors //
+  ////////////////
+  static size_type width(void)  { return 3; }
+  static size_type height(void) { return 3; }
+  static size_type size(void)   { return 9; }
+
+  iterator begin(void);
+  const_iterator begin(void) const;
+  iterator end(void);
+  const_iterator end(void) const;
+
+  //////////////
+  // Mutators //
+  //////////////
+  void clear(value_type value=0.0f);
+  void setDiagonal(value_type value=1.0f);
+
+  mat3d& transpose(void);
+
+  ///////////////
+  // Operators //
+  ///////////////
+  mat3d& operator=(const mat3d& m);
+
+  reference operator()(size_type row, size_type col);
+  const_reference operator()(size_type row, size_type col) const;
+
+  mat3d operator+(const mat3d& m) const;
+  mat3d operator-(const mat3d& m) const;
+  mat3d operator*(const mat3d& m) const;
+  vec3d operator*(const vec3d& v) const;
+  mat3d operator*(value_type scale) const;
+  mat3d operator/(value_type scale) const;
+
+  mat3d& operator+=(const mat3d& m);
+  mat3d& operator-=(const mat3d& m);
+  mat3d& operator*=(const mat3d& m);
+  mat3d& operator*=(value_type scale);
+  mat3d& operator/=(value_type scale);
+  
+  /////////////
+  // Friends //
+  /////////////
+  friend void swap(mat3d& a, mat3d& b) { a._swap(b); }
+
+  friend vec3d operator*(const vec3d& v, const mat3d& m)   { return m._premultiply(v); }
+  friend mat3d operator*(value_type scale, const mat3d& m) { return (m * scale); }
+
+  friend mat3d transpose(mat3d& m) { mat3d n(m); return n.transpose(); }
+
+  friend std::ostream& operator<<(std::ostream& s, const mat3d& m)
+  {
+    s << "[[" << m(0,0) << ", " << m(0,1) << ", " << m(0,2) << "],[";
+    s         << m(1,0) << ", " << m(1,1) << ", " << m(1,2) << "],[";
+    s         << m(2,0) << ", " << m(2,1) << ", " << m(2,2) << "]]";
+    return s;
+  }
+  
+ private:
+  /////////////////////
+  // Private Methods //
+  /////////////////////
+  void _swap(mat3d& m);
+  void _assign(const mat3d& m);
+
+  vec3d _premultiply(const vec3d& v) const;
+
+  //////////////////////////
+  // Private Data Members //
+  //////////////////////////
+  std::array<value_type, 9> _data;
+};
+
+#endif /* _MAT3D_H_ */