diff --git a/hw1-conjugate-gradient/conjugate_gradient.py b/hw1-conjugate-gradient/conjugate_gradient.py
index a22b22b1..3490f337 100644
--- a/hw1-conjugate-gradient/conjugate_gradient.py
+++ b/hw1-conjugate-gradient/conjugate_gradient.py
@@ -1 +1,26 @@
+#THIS PROGRAM RUNS THE CONJUGATE GRADIENT ALGORITHM
+
+# Import Libraries
 import numpy as np
+import scipy as sp
+import matplotlib.pyplt as plt
+
+# Input Arguments
+A = [[2.0, 3.0, 5.0], [2.0, 3.0 , 6.0], [3.0, 6.0, 9.0]]
+b = [2.0, 3.0, 5.0]
+
+float tolerance = 0.0005
+
+# Define the function conjgrad
+# DOES : CG algorithm
+def conjgrad(A, b, x, tolerance):
+	# Initialization
+	int k = 0
+	r = b - np.matmul(A, x)
+	p = r
+	
+	while(np.sqrt(np.sum(r**2)>tolerance):
+		k=k+1
+	
+	return(r);
+