implement 1st year/07 matrix multipulication & 08 compute sinx python solution

1st Year/07. Matrix Multiplication/matrix_multiplication.py

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+# To compute product of two matrices by 2D Array manipulation
+
+# accept user input to create 2D matrix
+def input_matrix():
+    row, column = [int(x) for x in input("Enter rows and columns of Matrix: ").split()]
+    matrix = []
+    print("Enter the elements of this matrix:")
+    for i in range(0, row):
+        temp = []
+        for j in range(0, column):
+            temp.append(int(input()))
+        matrix.append(temp)
+    return matrix
+
+
+# Print 2D matrix with correct format
+def print_matrix(matrix):
+    for i in range(len(matrix)):
+        for j in range(len(matrix[0])):
+            print(matrix[i][j], end=" ")
+        print()
+    return
+
+
+if __name__ == "__main__":
+    matrix1 = []
+    matrix2 = []
+    prduct_matrix = []
+    # input two matrics
+    matrix1 = input_matrix()
+    print("Matrix 1 are: ")
+    print_matrix(matrix1)
+
+    matrix2 = input_matrix()
+    print("Matrix 2 are: ")
+    print_matrix(matrix2)
+
+    if len(matrix1[0]) != len(matrix2):
+        print("Matrices are incompatible!, try again.")
+        exit(0)
+
+    # product matrix rows and cols
+    rows, cols = (len(matrix1), len(matrix2[0]))
+
+    # init product matrix value
+    prduct_matrix = [[0 for x in range(cols)] for y in range(rows)]
+
+    # iterate through rows of first matrix
+    for i in range(rows):
+        # iterate through columns of second matrix
+        for j in range(cols):
+            # iterate through rows of second matrix
+            for k in range(len(matrix2)):
+                prduct_matrix[i][j] += matrix1[i][k] * matrix2[k][j]
+
+    print("Product of matrices are: ")
+    print_matrix(prduct_matrix)
+
+    """ 
+    Sample output
+
+    Matrix 1 are:
+    12 7 3
+    4 5 6
+    7 8 9
+    Matrix 2 are:
+    5 8 1 2
+    6 7 3 0
+    4 5 9 1
+
+    Product of matrices are:
+    114 160 60 27
+    74 97 73 14
+    119 157 112 23
+    """

1st Year/08. Compute sin(x)/compute_sinx.py

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+## To compute sin x using taylor series approximation
+import math
+
+if __name__ == "__main__":
+    x = float(input("Enter the value in degrees: "))
+    num = int(input("Enter the number of terms in Taylor series expansion: "))
+
+    # Convert to radians
+    x = (x * 3.151592) / 180
+    term = sum = x
+
+    for i in range(1, 10):
+        # Term closest to approximation.
+        term = (- term * x * x) / (2 * i * (2 * i + 1))
+        sum += term
+
+    print("Calculated =", sum)
+    print("Builtin function =", math.sin(x))
+
+'''
+sample output
+
+Enter the value in degrees: 90
+Enter the number of terms in Taylor series expansion: 2
+Calculated = 0.9999875016599555
+Builtin function = 0.9999875016599559
+
+'''