Question

Must be in Python(please have a screen shot on these solution code)

11.5 (Algebra: add two matrices) Write a function to add two matrices. The header of the function is def addMatrix(a, b): In order to be added, the two matrices must have the same dimensions and the same or compatible types of elements. Let c be the resulting matrix. Each element Cij is aij + bij. For example, for two 3 X 3 matrices a and b, c is Programming Exercises 383 11 12 13 13 a31 a32 a33 a3 b a32 b32 a33 +b33 Write a test program that prompts the user to enter two 3 X 3 matrices and dis- plays their sum. Here is a sample run Enter matrix1: 1 2 3 4 5 6 7 8 9 Enter Enter matrix2: 0 2 4 1 4.5 2.2 1.1 4.3 5.2 The matrices are added as follows: Enter 0.0 2.0 4. 4.0 5.0 6.01.0 4.5 2.2 5.0 11.5 8.2 1.1 4.3 5.2 1.0 2.0 3.0 1.0 4.0 11.0 11.0 8.0 11.0 8.1 12.3 14.2

Answer 1

def addMatrix(a , b):

    # create a matrix of same dimension as a and b

    c = [ [ 0 , 0 , 0 ] , [ 0 , 0 , 0 ] , [ 0 , 0 , 0 ] ]

   

    for i in range( 0 , len(a) ):

   

        for j in range( 0 , len( a[i] ) ):

       

            c[i][j] = a[i][j] + b[i][j]

           

    return c

print('Enter 3x3 matrix')

   

x = list( map( float , input('Enter matrix 1 : ').split(' ') ) )

y = list( map( float , input('Enter matrix 2 : ').split(' ') ) )

index = 0

a = [ [ 0 , 0 , 0 ] , [ 0 , 0 , 0 ] , [ 0 , 0 , 0 ] ]

b = [ [ 0 , 0 , 0 ] , [ 0 , 0 , 0 ] , [ 0 , 0 , 0 ] ]

for i in range( 0 , 3 ):

   

    for j in range( 0 , 3 ):

   

        a[i][j] = x[index]

        

        index += 1

       

index = 0

for i in range( 0 , 3 ):

   

    for j in range( 0 , 3 ):

   

        b[i][j] = y[index]

       

        index += 1

c = addMatrix( a , b )

for i in range(0 , 3):

    print(a[0][i] , end = ' ')

   

print('   ' , end = '')

for i in range(0 , 3):

    print(b[0][i] , end = ' ')

print(' ', end = '')

   

for i in range(0 , 3):

    print(c[0][i] , end = ' ')

   

print()

   

for i in range(0 , 3):

    print(a[1][i] , end = ' ')

   

print(' + ' , end = '')

   

for i in range(0 , 3):

    print(b[1][i] , end = ' ')

   

print(' = ', end = '')

   

for i in range(0 , 3):

    print(c[1][i] , end = ' ')

   

print()

for i in range(0 , 3):

    print(a[2][i] , end = ' ')

   

print('   ' , end = '')

for i in range(0 , 3):

    print(b[2][i] , end = ' ')

print(' ', end = '')

   

for i in range(0 , 3):

    print(c[2][i] , end = ' ')

Sample Output

Enter 3x3 matrix Enter matrix 11 2 3 4 5 678 9 Enter matrix 2 : 2 4 1 4.5 2.2 1.1 4.3 5. 1.0 2.0 3. 4.0 5. 6.0 + 1. 4.5 2.25 7.0 8.0 9.0 0.0 2. 4.1. 4.07.0 5.0 9.5 8.2 1.1 4.3 5.0 8.1 12.3 14.0