diff --git a/matrix.hpp b/matrix.hpp
index 3f844af..37250c2 100644
--- a/matrix.hpp
+++ b/matrix.hpp
@@ -11,6 +11,7 @@ private:
   uint64_t entry_dimension;
   vector *entries;
   bool err;
+  bool augmented = false;
 
 public:
   matrix(const uint64_t num_entries, const uint64_t entry_dimension) {
@@ -38,6 +39,24 @@ public:
     this->entries = NULL;
     this->err = true;
   }
+  const matrix augment(vector v) const {
+    matrix m = *this;
+    if (v.get_dimention() != this->get_num_entries()) {
+      m.err = true;
+      return m;
+    }
+    for (uint64_t i = 0; i < m.get_num_entries(); i++) {
+      vector old = m[i];
+      vector n(old.get_dimention() + 1);
+      for (uint64_t j = 0; j < old.get_dimention(); j++)
+        n[j] = old[j];
+      n[old.get_dimention()] = v[i];
+      m[i] = n;
+    }
+    m.entry_dimension = m.entry_dimension + 1;
+    m.augmented = true;
+    return m;
+  }
   const uint64_t get_num_entries() const { return this->num_entries; }
   const uint64_t get_entry_dimension() const { return this->entry_dimension; }
   const cnumber determinant() const {
@@ -81,30 +100,30 @@ public:
 
   // switch row i with row j
   const matrix exchange_row(uint64_t i, uint64_t j) {
-	  matrix m = *this;
-	  vector v = m.get_entry(i);
-	  m[i] = m[j];
-	  m[j] = v;
-	  return m;
+    matrix m = *this;
+    vector v = m.get_entry(i);
+    m[i] = m[j];
+    m[j] = v;
+    return m;
   }
   // subtract row i from row j
   const matrix subtract_row(uint64_t i, uint64_t j, cnumber multiplier = 1) {
-	  matrix m = *this;
-	  m[j] = m[j] - (m.multiply_row(i, multiplier)[i]);
-	  return m;
+    matrix m = *this;
+    m[j] = m[j] - (m.multiply_row(i, multiplier)[i]);
+    return m;
   }
   // add row i to row j
   const matrix add_row(uint64_t i, uint64_t j, cnumber multiplier = 1) {
-	  matrix m = *this;
-	  m[j] = m[j] + (m.multiply_row(i, multiplier)[i]);
-	  return m;
+    matrix m = *this;
+    m[j] = m[j] + (m.multiply_row(i, multiplier)[i]);
+    return m;
   }
 
   // Multiply row by z
   const matrix multiply_row(uint64_t i, cnumber z) {
-	  matrix m = *this;
-	  m[i] = m[i] * z;
-	  return m;
+    matrix m = *this;
+    m[i] = m[i] * z;
+    return m;
   }
   const vector get_entry(uint64_t index) const { return this->entries[index]; }
 
@@ -217,13 +236,15 @@ public:
         oss << std::setw(padding) << "|";
         symbols[1] = oss.str();
         symbols[2] = "|";
-        for (int i = 0; i < 3; i++) {
-          int len = symbols[i].length() - 1;
-          char cur = symbols[i][0];
-          if (cur != last) {
-            os << symbols[i];
+	bool print = true;
+        for (int k = 0; k < 3; k++) {
+          int len = symbols[k].length() - 1;
+          char cur = symbols[k][0];
+          if (cur != last || (m.augmented && j == m[i].get_dimention() - 1 && print)) {
+	    print = false;
+            os << symbols[k];
           }
-          last = symbols[i][len];
+          last = symbols[k][len];
         }
       }
       if (i != m.num_entries - 1)