diff --git a/examples/05_matrix_operations.ipynb b/examples/05_matrix_operations.ipynb
index 1f08951b..0cd85534 100644
--- a/examples/05_matrix_operations.ipynb
+++ b/examples/05_matrix_operations.ipynb
@@ -190,7 +190,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "[7.2(1.7) -1.00(45)]\n"
+      "[7.2(1.7) -1.00(46)]\n"
      ]
     }
    ],
@@ -243,7 +243,7 @@
      "output_type": "stream",
      "text": [
       "[[2.025(49) 0.0]\n",
-      " [-0.494(50) 0.870(29)]]\n"
+      " [-0.494(51) 0.870(29)]]\n"
      ]
     }
    ],
@@ -296,7 +296,7 @@
      "output_type": "stream",
      "text": [
       "[[0.494(12) 0.0]\n",
-      " [0.280(40) 1.150(38)]]\n",
+      " [0.280(40) 1.150(39)]]\n",
       "Check:\n",
       "[[1.0 0.0]\n",
       " [0.0 1.0]]\n"
@@ -330,10 +330,10 @@
      "output_type": "stream",
      "text": [
       "Eigenvalues:\n",
-      "[0.705(56) 4.39(20)]\n",
+      "[0.705(57) 4.39(19)]\n",
       "Eigenvectors:\n",
-      "[[-0.283(26) -0.9592(75)]\n",
-      " [-0.9592(75) 0.283(26)]]\n"
+      "[[-0.283(26) -0.9592(76)]\n",
+      " [-0.9592(76) 0.283(26)]]\n"
      ]
     }
    ],
@@ -363,17 +363,13 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Check eigenvector 1\n",
-      "[-5.551115123125783e-17 0.0]\n",
-      "Check eigenvector 2\n",
-      "[0.0 -2.220446049250313e-16]\n"
+      "[[ True  True]\n",
+      " [ True  True]]\n"
      ]
     }
    ],
    "source": [
-    "for i in range(2):\n",
-    "    print('Check eigenvector', i + 1)\n",
-    "    print(matrix @ v[:, i] - v[:, i] * e[i])"
+    "print(matrix @ v == e * v)"
    ]
   },
   {