python lab (12/03/2024)

#accept and print matrix
matrix = []

for i in range(3):
    row = []
    for j in range(3):
        row.append(int(input(f"Enter element at position ({i+1}, {j+1}): ")))
    matrix.append(row)

print("Entered 3x3 matrix:")
for row in matrix:
    print(row)

output:
Enter element at position (1, 1): 1
Enter element at position (1, 2): 2
Enter element at position (1, 3): 3
Enter element at position (2, 1): 4
Enter element at position (2, 2): 5
Enter element at position (2, 3): 6
Enter element at position (3, 1): 7
Enter element at position (3, 2): 8
Enter element at position (3, 3): 9
Entered 3x3 matrix:
[1, 2, 3]
[4, 5, 6]
[7, 8, 9]


#accept matrix and element sum
matrix = []
a=0
sum=0

for i in range(3):
    row = []
    for j in range(3):
        a=int(input(f"Enter element at position ({i+1}, {j+1}): "))
        row.append(a)
        sum+=a
    matrix.append(row)

print("Entered 3x3 matrix:")
for row in matrix:
    print(row)

print("Sum = ",sum)

Output:
Enter element at position (1, 1): 1
Enter element at position (1, 2): 2
Enter element at position (1, 3): 3
Enter element at position (2, 1): 4
Enter element at position (2, 2): 5
Enter element at position (2, 3): 6
Enter element at position (3, 1): 7
Enter element at position (3, 2): 8
Enter element at position (3, 3): 9
Entered 3x3 matrix:
[1, 2, 3]
[4, 5, 6]
[7, 8, 9]
Sum =  45



#Accept matrix and trace
matrix = []

for i in range(3):
    row = []
    for j in range(3):
        element = int(input(f"Enter element at position ({i+1}, {j+1}): "))
        row.append(element)
    matrix.append(row)

print("Entered 3x3 matrix:")
for row in matrix:
    print(row)

trace = 0
for i in range(3):
    trace += matrix[i][i]

print(f"Trace of the matrix: {trace}")

Output:
Enter element at position (1, 1): 1
Enter element at position (1, 2): 2
Enter element at position (1, 3): 3
Enter element at position (2, 1): 4
Enter element at position (2, 2): 5
Enter element at position (2, 3): 6
Enter element at position (3, 1): 7
Enter element at position (3, 2): 8
Enter element at position (3, 3): 9
Entered 3x3 matrix:
[1, 2, 3]
[4, 5, 6]
[7, 8, 9]
Trace of the matrix: 15



#Matrix multiplication
import numpy as np

matrix1 = []
for i in range(3):
    row = []
    for j in range(3):
        element = int(input(f"Enter element for matrix1 at position ({i+1}, {j+1}): "))
        row.append(element)
    matrix1.append(row)

matrix2 = []
for i in range(3):
    row = []
    for j in range(3):
        element = int(input(f"Enter element for matrix2 at position ({i+1}, {j+1}): "))
        row.append(element)
    matrix2.append(row)

print("Entered 3x3 matrix 1:")
for row in matrix1:
    print(row)

print("\nEntered 3x3 matrix 2:")
for row in matrix2:
    print(row)

array1 = np.array(matrix1)
array2 = np.array(matrix2)


result_array = np.dot(array1, array2)

print("\nResult of matrix multiplication:")
print(result_array)

Output:
Enter element for matrix1 at position (1, 1): 1
Enter element for matrix1 at position (1, 2): 2
Enter element for matrix1 at position (1, 3): 3
Enter element for matrix1 at position (2, 1): 4
Enter element for matrix1 at position (2, 2): 5
Enter element for matrix1 at position (2, 3): 6
Enter element for matrix1 at position (3, 1): 7
Enter element for matrix1 at position (3, 2): 8
Enter element for matrix1 at position (3, 3): 9
Enter element for matrix2 at position (1, 1): 1
Enter element for matrix2 at position (1, 2): 10
Enter element for matrix2 at position (1, 3): 11
Enter element for matrix2 at position (2, 1): 12
Enter element for matrix2 at position (2, 2): 13
Enter element for matrix2 at position (2, 3): 14
Enter element for matrix2 at position (3, 1): 15
Enter element for matrix2 at position (3, 2): 16
Enter element for matrix2 at position (3, 3): 17
Entered 3x3 matrix 1:
[1, 2, 3]
[4, 5, 6]
[7, 8, 9]

Entered 3x3 matrix 2:
[1, 10, 11]
[12, 13, 14]
[15, 16, 17]

Result of matrix multiplication:
[[ 70  84  90]
 [154 201 216]
 [238 318 342]]