pr3

 Write a python program to compute following computation on matrix:

a) Addition of two matrices

b) Subtraction of two matrices

c) Multiplication of two matrices

d) Transpose of a matrix


# Matrix operations without using built-in functions, packages, or classes


# Function to add two matrices

def add_matrices(matrix1, matrix2):

    rows, cols = len(matrix1), len(matrix1[0])

    result = [[0 for _ in range(cols)] for _ in range(rows)]

    for i in range(rows):

        for j in range(cols):

            result[i][j] = matrix1[i][j] + matrix2[i][j]

    return result


# Function to subtract two matrices

def subtract_matrices(matrix1, matrix2):

    rows, cols = len(matrix1), len(matrix1[0])

    result = [[0 for _ in range(cols)] for _ in range(rows)]

    for i in range(rows):

        for j in range(cols):

            result[i][j] = matrix1[i][j] - matrix2[i][j]

    return result


# Function to multiply two matrices

def multiply_matrices(matrix1, matrix2):

    rows1, cols1 = len(matrix1), len(matrix1[0])

    rows2, cols2 = len(matrix2), len(matrix2[0])

    result = [[0 for _ in range(cols2)] for _ in range(rows1)]

    for i in range(rows1):

        for j in range(cols2):

            for k in range(cols1):

                result[i][j] += matrix1[i][k] * matrix2[k][j]

    return result


# Function to transpose a matrix

def transpose_matrix(matrix):

    rows, cols = len(matrix), len(matrix[0])

    result = [[0 for _ in range(rows)] for _ in range(cols)]

    for i in range(rows):

        for j in range(cols):

            result[j][i] = matrix[i][j]

    return result


# Input matrices

print("Enter the dimensions of the matrices (rows and columns):")

rows, cols = int(input("Rows: ")), int(input("Columns: "))


print("\nEnter the elements of the first matrix row by row:")

matrix1 = []

for i in range(rows):

    row = list(map(int, input().split()))

    matrix1.append(row)


print("\nEnter the elements of the second matrix row by row:")

matrix2 = []

for i in range(rows):

    row = list(map(int, input().split()))

    matrix2.append(row)


# Perform computations

print("\nAddition of matrices:")

addition_result = add_matrices(matrix1, matrix2)

for row in addition_result:

    print(row)


print("\nSubtraction of matrices:")

subtraction_result = subtract_matrices(matrix1, matrix2)

for row in subtraction_result:

    print(row)


if len(matrix1[0]) == len(matrix2):

    print("\nMultiplication of matrices:")

    multiplication_result = multiply_matrices(matrix1, matrix2)

    for row in multiplication_result:

        print(row)

else:

    print("\nMultiplication is not possible due to dimension mismatch.")


print("\nTranspose of the first matrix:")

transpose_result = transpose_matrix(matrix1)

for row in transpose_result:

    print(row)



# Sample input to run the program:

# Enter the dimensions of the matrices (rows and columns):

# Rows: 2

# Columns: 2

# Enter the elements of the first matrix row by row:

# 1 2

# 3 4

# Enter the elements of the second matrix row by row:

# 5 6

# 7 8


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