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+def ge(A, b):
+    # 1. elimination
+    n = len(b)
+    for j in range(0, n-1): # pivot equation
+       
+        for i in range(j+1, n):
+            lam = A[i,j]/A[j,j]
+            A[i,j:n] = A[i, j:n] - lam*A[j, j:n]
+            b[i] = b[i] - lam*b[j]
+            
+    x = b.copy()
+    for k in range(n-1, -1, -1):
+        x[k] = (b[k] - np.dot(A[k,k+1:n], x[k+1:n]))/A[k,k]
+    
+    print(x)