Change matrix examples

README.md

@@ -111,34 +111,36 @@ g++ -o matrix matrix.cpp
 ```
 *output*
 ```
-The matrix m:
+The matrix m
-| 7 | 6+i |
+| 1 | 1 |
-| 5 | 3 |
+| 1 | 1 |
-The matrix m roted by one pi radian:
-| 6+i | 3 |
-| 7 | 5 |
 The determinant of matrix m:
--9-5i
+0
-The matrix m's transpose:
+The matrix n:
-| 7 | 5 |
-| 6+i | 3 |
-The matrix m's diagonal:
-| 7 |
-| 3 |
-The matrix m's off diagonal:
-| 6+i |
-| 5 |
-The matrix n
 | 2 | 1+i |
 | 1-i | 5 |
+The matrix n roted by one pi radian:
+| 1+i | 5 |
+| 2 | 1-i |
 The determinant of matrix n:
 8
+The matrix n's transpose:
+| 2 | 1-i |
+| 1+i | 5 |
+The matrix n's diagonal:
+| 2 |
+| 5 |
+The matrix n's off diagonal:
+| 1+i |
+| 1-i |
 The matrix m * n
-| 21-5i | 37+12i |
+| 3-i | 6+i |
-| 13-3i | 20+5i |
+| 3-i | 6+i |
-The matrix m is not hermitian, here is the hermitian conjugate:
+The matrix m + n
-| 7 | 5 |
+| 3 | 2+i |
-| 6-i | 3 |
+| 2-i | 6 |
+Is 2 an eigenvalue of m?
+Yes!
 The matrix n is hermitian, here is the hermitian conjugate:
 | 2 | 1+i |
 | 1-i | 5 |

matrix.cpp

@@ -2,21 +2,20 @@
 
 int main() {
   vector a = vector(2);
-  a[0] = cnumber(7, 0);
+  a[0] = 1;
-  a[1] = cnumber(6, 1);
+  a[1] = 1;
 
   vector b = vector(2);
-  b[0] = cnumber(5, 0);
+  b[0] = 1;
-  b[1] = cnumber(3, 0);
+  b[1] = cnumber(1, 0);
 
   vector c = vector(2);
-  c[0] = cnumber(2, 0);
+  c[0] = 2;
   c[1] = cnumber(1, 1);
 
-
   vector d = vector(2);
   d[0] = cnumber(1, -1);
-  d[1] = cnumber(5, 0);
+  d[1] = 5;
 
   matrix m = matrix(2, 2);
   m[0] = a;
@@ -26,28 +25,31 @@ int main() {
   n[0] = c;
   n[1] = d;
 
-  cout << "The matrix m:" << endl;
+  cout << "The matrix m" << endl;
   cout << m << endl;
-  cout << "The matrix m roted by one pi radian:" << endl;
-  cout << m.rotate_by_one_pi() << endl;
   cout << "The determinant of matrix m:" << endl;
   cout << m.determinant() << endl;
-  cout << "The matrix m's transpose:" << endl;
+  cout << "The matrix n:" << endl;
-  cout << m.transpose() << endl;
-  cout << "The matrix m's diagonal:" << endl;
-  cout << m.get_diagonal() << endl;
-  cout << "The matrix m's off diagonal:" << endl;
-  cout << m.get_off_diagonal() << endl;
-  cout << "The matrix n" << endl;
   cout << n << endl;
+  cout << "The matrix n roted by one pi radian:" << endl;
+  cout << n.rotate_by_one_pi() << endl;
   cout << "The determinant of matrix n:" << endl;
   cout << n.determinant() << endl;
+  cout << "The matrix n's transpose:" << endl;
+  cout << n.transpose() << endl;
+  cout << "The matrix n's diagonal:" << endl;
+  cout << n.get_diagonal() << endl;
+  cout << "The matrix n's off diagonal:" << endl;
+  cout << n.get_off_diagonal() << endl;
   cout << "The matrix m * n" << endl;
   cout << m * n << endl;
-  if  (!m.is_hermitian()) {
+  cout << "The matrix m + n" << endl;
-    cout << "The matrix m is not hermitian, here is the hermitian conjugate:"
+  cout << m + n << endl;
-         << endl;
+  cout << "Is 2 an eigenvalue of m?" << endl;
-    cout << m.hermitian_conjugate() << endl;
+  if (m.is_eigenvalue(2)) {
+    cout << "Yes!" << endl;
+  } else {
+    cout << "No!" << endl;
   }
   if (n.is_hermitian()) {
     cout << "The matrix n is hermitian, here is the hermitian conjugate:"