Làm thế nào để bạn đại diện cho một ma trận trong python?

Ma trận không là gì ngoài sự sắp xếp dữ liệu hoặc số theo hình chữ nhật. Nói cách khác, nó là một mảng dữ liệu hoặc số hình chữ nhật. Các mục theo chiều ngang trong ma trận được gọi là 'hàng' trong khi các mục theo chiều dọc được gọi là 'cột'. Nếu một ma trận có r số hàng và c số cột thì thứ tự của ma trận là r x c. Mỗi phần tử trong ma trận có thể là giá trị nguyên, giá trị động hoặc thậm chí có thể là số phức

ví dụ

// 3 x 4 matrix
     1 2 3 4
M =  4 5 6 7
     6 7 8 9

// 2 x 3 matrix in Python
A = [ [ 2, 5, 7 ],
      [ 4, 7, 9 ] ]

// 3 x 4 matrix in Python where entries are floating numbers
B = [ [ 1.0, 3.5, 5.4, 7.9 ],
      [ 9.0, 2.5, 4.2, 3.6 ],
      [ 1.5, 3.2, 1.6, 6.5 ] ]

Trong Python, chúng ta có thể lấy ma trận đầu vào của người dùng theo nhiều cách khác nhau. Một số phương thức cho ma trận đầu vào của người dùng trong Python được hiển thị bên dưới

Mã số 1

Enter the number of rows:2
Enter the number of columns:3
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1
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1 2 3 
4 5 6 

3

Enter the number of rows:2
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1 2 3 
4 5 6 

4

Enter the number of rows:2
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Enter the entries rowwise:
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1 2 3 
4 5 6 

5

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
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1 2 3 
4 5 6 

6

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
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2
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1 2 3 
4 5 6 

7

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
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2
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1 2 3 
4 5 6 

8

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
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1 2 3 
4 5 6 

9

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
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1 2 3 
4 5 6 

8

Enter the number of rows:2
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1 2 3 
4 5 6 

1

Enter the number of rows:2
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1 2 3 
4 5 6 

2

Enter the number of rows:2
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1 2 3 
4 5 6 

3_______36

Enter the number of rows:2
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1 2 3 
4 5 6 

7____38

Enter the number of rows:2
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1 2 3 
4 5 6 

9

Enter the number of rows:2
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Enter the entries rowwise:
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1 2 3 
4 5 6 

8

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
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1 2 3 
4 5 6 

9

Enter the number of rows:2
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1 2 3 
4 5 6 

2

Enter the number of rows:2
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1 2 3 
4 5 6 

4

Enter the number of rows:2
Enter the number of columns:2
Enter the entries in a single line separated by space: 1 2 3 1 
[[1 2]
 [3 1]]

2

Enter the number of rows:2
Enter the number of columns:2
Enter the entries in a single line separated by space: 1 2 3 1 
[[1 2]
 [3 1]]

3

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
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1 2 3 
4 5 6 

6

Enter the number of rows:2
Enter the number of columns:2
Enter the entries in a single line separated by space: 1 2 3 1 
[[1 2]
 [3 1]]

5

Enter the number of rows:2
Enter the number of columns:2
Enter the entries in a single line separated by space: 1 2 3 1 
[[1 2]
 [3 1]]

6______38

Enter the number of rows:2
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Enter the entries in a single line separated by space: 1 2 3 1 
[[1 2]
 [3 1]]

8

Enter the number of rows:2
Enter the number of columns:2
Enter the entries in a single line separated by space: 1 2 3 1 
[[1 2]
 [3 1]]

9

Enter the number of rows:2
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Enter the entries rowwise:
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1 2 3 
4 5 6 

4

Enter the number of rows:2
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1 2 3 
4 5 6 

31

Enter the number of rows:2
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Enter the entries rowwise:
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1 2 3 
4 5 6 

32

Enter the number of rows:2
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Enter the entries rowwise:
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1 2 3 
4 5 6 

33

Enter the number of rows:2
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Enter the entries rowwise:
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1 2 3 
4 5 6 

34

Enter the number of rows:2
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Enter the entries rowwise:
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1 2 3 
4 5 6 

35

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
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1 2 3 
4 5 6 

36

Enter the number of rows:2
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Enter the entries rowwise:
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1 2 3 
4 5 6 

37

Enter the number of rows:2
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Enter the entries rowwise:
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1 2 3 
4 5 6 

38

Enter the number of rows:2
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Enter the entries rowwise:
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1 2 3 
4 5 6 

39____36

Enter the number of rows:2
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Enter the entries in a single line separated by space: 1 2 3 1 
[[1 2]
 [3 1]]

5

Enter the number of rows:2
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Enter the entries rowwise:
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1 2 3 
4 5 6 

38

Enter the number of rows:2
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Enter the entries rowwise:
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1 2 3 
4 5 6 

32

Enter the number of rows:2
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Enter the entries rowwise:
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1 2 3 
4 5 6 

44

Enter the number of rows:2
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Enter the entries rowwise:
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1 2 3 
4 5 6 

34

Enter the number of rows:2
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Enter the entries rowwise:
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1 2 3 
4 5 6 

35

Enter the number of rows:2
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Enter the entries rowwise:
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1 2 3 
4 5 6 

47

Enter the number of rows:2
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Enter the entries rowwise:
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1 2 3 
4 5 6 

48

Enter the number of rows:2
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Enter the entries rowwise:
1
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1 2 3 
4 5 6 

49

Enter the number of rows:2
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Enter the entries rowwise:
1
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1 2 3 
4 5 6 

50

Enter the number of rows:2
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Enter the entries rowwise:
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1 2 3 
4 5 6 

7

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
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1 2 3 
4 5 6 

8

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
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1 2 3 
4 5 6 

9

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
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1 2 3 
4 5 6 

54

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
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1 2 3 
4 5 6 

38

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
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1 2 3 
4 5 6 

56

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
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1 2 3 
4 5 6 

4

Enter the number of rows:2
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Enter the entries rowwise:
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1 2 3 
4 5 6 

58

Enter the number of rows:2
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Enter the entries rowwise:
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1 2 3 
4 5 6 

32

Enter the number of rows:2
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Enter the entries rowwise:
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1 2 3 
4 5 6 

33

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
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1 2 3 
4 5 6 

34

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
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1 2 3 
4 5 6 

35

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
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1 2 3 
4 5 6 

63

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
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1 2 3 
4 5 6 

38

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
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1 2 3 
4 5 6 

32

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
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1 2 3 
4 5 6 

44

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
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1 2 3 
4 5 6 

34

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
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1 2 3 
4 5 6 

35

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
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5
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1 2 3 
4 5 6 

69

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
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1 2 3 
4 5 6 

70

Enter the number of rows:2
Enter the number of columns:2
Enter the entries in a single line separated by space: 1 2 3 1 
[[1 2]
 [3 1]]

6______372

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
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5
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1 2 3 
4 5 6 

6

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
4
5
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1 2 3 
4 5 6 

74

Enter the number of rows:2
Enter the number of columns:2
Enter the entries in a single line separated by space: 1 2 3 1 
[[1 2]
 [3 1]]

9

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
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5
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1 2 3 
4 5 6 

38

Enter the number of rows:2
Enter the number of columns:2
Enter the entries in a single line separated by space: 1 2 3 1 
[[1 2]
 [3 1]]

6

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
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3
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1 2 3 
4 5 6 

78

đầu ra

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
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1 2 3 
4 5 6 

Lót

Enter the number of rows:2
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1 2 3 
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79

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
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1 2 3 
4 5 6 

80

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
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1 2 3 
4 5 6 

6

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
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5
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1 2 3 
4 5 6 

82

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
4
5
6

1 2 3 
4 5 6 

7

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
4
5
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1 2 3 
4 5 6 

8

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
4
5
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1 2 3 
4 5 6 

9

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
4
5
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1 2 3 
4 5 6 

86

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
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5
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1 2 3 
4 5 6 

32

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
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5
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1 2 3 
4 5 6 

88

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
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5
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1 2 3 
4 5 6 

34

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
4
5
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1 2 3 
4 5 6 

35

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
4
5
6

1 2 3 
4 5 6 

91

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
4
5
6

1 2 3 
4 5 6 

32

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
4
5
6

1 2 3 
4 5 6 

93

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
4
5
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1 2 3 
4 5 6 

34

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
4
5
6

1 2 3 
4 5 6 

35

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
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5
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1 2 3 
4 5 6 

96

 
Mã số 2. Sử dụng chức năng

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
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1 2 3 
4 5 6 

97 và

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
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1 2 3 
4 5 6 

98.

Trong Python tồn tại một thư viện phổ biến tên là NumPy. Thư viện này là một thư viện cơ bản cho bất kỳ tính toán khoa học nào. Nó cũng được sử dụng cho mảng nhiều chiều và như chúng ta đã biết ma trận là mảng chữ nhật, chúng ta sẽ sử dụng thư viện này cho ma trận đầu vào của người dùng

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
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5
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1 2 3 
4 5 6 

99

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
4
5
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1 2 3 
4 5 6 

00

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
4
5
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1 2 3 
4 5 6 

4

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
4
5
6

1 2 3 
4 5 6 

5

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
4
5
6

1 2 3 
4 5 6 

6

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
4
5
6

1 2 3 
4 5 6 

7

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
4
5
6

1 2 3 
4 5 6 

8

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
4
5
6

1 2 3 
4 5 6 

9

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
4
5
6

1 2 3 
4 5 6 

8

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
4
5
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1 2 3 
4 5 6 

1

Enter the number of rows:2
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Enter the entries rowwise:
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1 2 3 
4 5 6 

2

Enter the number of rows:2
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1 2 3 
4 5 6 

3_______36

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
4
5
6

1 2 3 
4 5 6 

7____38

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
4
5
6

1 2 3 
4 5 6 

9

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
4
5
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1 2 3 
4 5 6 

8

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
4
5
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1 2 3 
4 5 6 

9

Enter the number of rows:2
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Enter the entries rowwise:
1
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1 2 3 
4 5 6 

2

Enter the number of rows:2
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1 2 3 
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4

Enter the number of rows:2
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Enter the entries rowwise:
1
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1 2 3 
4 5 6 

4

Enter the number of rows:2
Enter the number of columns:2
Enter the entries in a single line separated by space: 1 2 3 1 
[[1 2]
 [3 1]]

6______38

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
4
5
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1 2 3 
4 5 6 

22

Enter the number of rows:2
Enter the number of columns:2
Enter the entries in a single line separated by space: 1 2 3 1 
[[1 2]
 [3 1]]

9

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
4
5
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1 2 3 
4 5 6 

4

Enter the number of rows:2
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Enter the entries rowwise:
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1 2 3 
4 5 6 

25

Enter the number of rows:2
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1 2 3 
4 5 6 

26

Enter the number of rows:2
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1 2 3 
4 5 6 

27

Enter the number of rows:2
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Enter the entries rowwise:
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1 2 3 
4 5 6 

6

Enter the number of rows:2
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Enter the entries rowwise:
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1 2 3 
4 5 6 

29

Enter the number of rows:2
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Enter the entries rowwise:
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1 2 3 
4 5 6 

8

Enter the number of rows:2
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Enter the entries rowwise:
1
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1 2 3 
4 5 6 

31

Enter the number of rows:2
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Enter the entries rowwise:
1
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3
4
5
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1 2 3 
4 5 6 

8

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
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1 2 3 
4 5 6 

7

Enter the number of rows:2
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Enter the entries rowwise:
1
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1 2 3 
4 5 6 

34

Enter the number of rows:2
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Enter the entries rowwise:
1
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1 2 3 
4 5 6 

9

Enter the number of rows:2
Enter the number of columns:3
Enter the entries rowwise:
1
2
3
4
5
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1 2 3 
4 5 6 

36