|
| 1 | +import numpy as np |
| 2 | + |
| 3 | +def menu(): |
| 4 | + while True: |
| 5 | + print("1. Add matrices\n2. Multiply matrix by a constant\n3. Multiply matrices\n4. Transpose matrix\n" |
| 6 | + "5. Calculate a determinant\n6. Inverse matrix\n0. Exit") |
| 7 | + choice = int(input("Your choice: ")) |
| 8 | + if choice == 0: |
| 9 | + break |
| 10 | + elif choice == 1: |
| 11 | + adding_matrices() |
| 12 | + elif choice == 2: |
| 13 | + constant_multiply() |
| 14 | + elif choice == 3: |
| 15 | + multiply_matrices() |
| 16 | + elif choice == 4: |
| 17 | + print("1. Main diagonal\n2. Side diagonal\n3. Vertical line\n4. Horizontal line") |
| 18 | + transpose_choice = int(input("Your choice: ")) |
| 19 | + if transpose_choice == 1: |
| 20 | + transpose_main_diagonal() |
| 21 | + elif transpose_choice == 2: |
| 22 | + transpose_side_diagonal() |
| 23 | + elif transpose_choice == 3: |
| 24 | + transpose_vertical_line() |
| 25 | + elif transpose_choice == 4: |
| 26 | + transpose_horizontal_line() |
| 27 | + elif choice == 5: |
| 28 | + determinant() |
| 29 | + elif choice == 6: |
| 30 | + inverse_matrix() |
| 31 | + else: |
| 32 | + print("Wrong option") |
| 33 | + continue |
| 34 | + |
| 35 | +def make_a_matrix(): |
| 36 | + global a_rows, a_columns, a_matrix, matrix |
| 37 | + a_rows, a_columns = map(int, input("Enter size of first matrix: ").split()) |
| 38 | + a_matrix = [] |
| 39 | + matrix = [] |
| 40 | + print("Enter first matrix: ") |
| 41 | + for i in range(a_rows): |
| 42 | + a_matrix.append(list(map(float, input().split()))) |
| 43 | + |
| 44 | +def make_b_matrix(): |
| 45 | + global b_rows, b_columns, b_matrix |
| 46 | + b_rows, b_columns = map(int, input("Enter size of second matrix: ").split()) |
| 47 | + b_matrix = [] |
| 48 | + print("Enter second matrix: ") |
| 49 | + for j in range(b_rows): |
| 50 | + b_matrix.append(list(map(float, input().split()))) |
| 51 | + |
| 52 | + |
| 53 | +def adding_matrices(): |
| 54 | + make_a_matrix() |
| 55 | + make_b_matrix() |
| 56 | + if (a_rows == b_rows) and (a_columns == b_columns): |
| 57 | + print("The result is: ") |
| 58 | + for i in range(a_rows): |
| 59 | + matrix.append([]) |
| 60 | + for j in range(a_columns): |
| 61 | + matrix[i].append(a_matrix[i][j] + b_matrix[i][j]) |
| 62 | + converted_list = [str(element) for element in matrix[i]] |
| 63 | + joined_string = " ".join(converted_list) |
| 64 | + print(joined_string) |
| 65 | + else: |
| 66 | + print("The operation cannot be performed.") |
| 67 | + |
| 68 | + |
| 69 | +def constant_multiply(): |
| 70 | + make_a_matrix() |
| 71 | + c = int(input("Enter constant: ")) |
| 72 | + print("The result is: ") |
| 73 | + for i in range(a_rows): |
| 74 | + matrix.append([]) |
| 75 | + for j in range(a_columns): |
| 76 | + matrix[i].append(a_matrix[i][j] * c) |
| 77 | + converted_list = [str(element) for element in matrix[i]] |
| 78 | + joined_string = " ".join(converted_list) |
| 79 | + print(joined_string) |
| 80 | + |
| 81 | + |
| 82 | +def multiply_matrices(): |
| 83 | + make_a_matrix() |
| 84 | + make_b_matrix() |
| 85 | + if a_columns == b_rows: |
| 86 | + print("The result is: ") |
| 87 | + for i in range(a_rows): |
| 88 | + matrix.append([]) |
| 89 | + for j in range(b_columns): |
| 90 | + matrix[-1].append(0.0) |
| 91 | + for k in range(b_rows): |
| 92 | + matrix[i][j] += a_matrix[i][k] * b_matrix[k][j] |
| 93 | + converted_list = [str(element) for element in matrix[i]] |
| 94 | + joined_string = " ".join(converted_list) |
| 95 | + print(joined_string) |
| 96 | + else: |
| 97 | + print("The operation cannot be performed.") |
| 98 | + |
| 99 | + |
| 100 | +def transpose_main_diagonal(): |
| 101 | + make_a_matrix() |
| 102 | + transpose_matrix = [[a_matrix[j][i] for j in range(a_rows)] for i in range(a_columns)] |
| 103 | + for i in range(len(transpose_matrix)): |
| 104 | + converted_list = [str(element) for element in transpose_matrix[i]] |
| 105 | + joined_string = " ".join(converted_list) |
| 106 | + print(joined_string) |
| 107 | + |
| 108 | + |
| 109 | +def transpose_side_diagonal(): |
| 110 | + make_a_matrix() |
| 111 | + transpose_matrix = [[a_matrix[j][i] for j in reversed(range(a_rows))] for i in reversed(range(a_columns))] |
| 112 | + for i in range(len(transpose_matrix)): |
| 113 | + converted_list = [str(element) for element in transpose_matrix[i]] |
| 114 | + joined_string = " ".join(converted_list) |
| 115 | + print(joined_string) |
| 116 | + |
| 117 | + |
| 118 | +def transpose_vertical_line(): |
| 119 | + make_a_matrix() |
| 120 | + for i in range(a_rows): |
| 121 | + a_matrix[i].reverse() |
| 122 | + converted_list = [str(element) for element in a_matrix[i]] |
| 123 | + joined_string = " ".join(converted_list) |
| 124 | + print(joined_string) |
| 125 | + |
| 126 | +def transpose_horizontal_line(): |
| 127 | + make_a_matrix() |
| 128 | + a_matrix.reverse() |
| 129 | + for i in range(a_rows): |
| 130 | + converted_list = [str(element) for element in a_matrix[i]] |
| 131 | + joined_string = " ".join(converted_list) |
| 132 | + print(joined_string) |
| 133 | + |
| 134 | +def determinant(): |
| 135 | + make_a_matrix() |
| 136 | + if a_rows != a_columns: |
| 137 | + print("The operation cannot be performed.") |
| 138 | + else: |
| 139 | + det = np.linalg.det(a_matrix) |
| 140 | + print("The result is: ") |
| 141 | + print(det) |
| 142 | + |
| 143 | +def inverse_matrix(): |
| 144 | + make_a_matrix() |
| 145 | + det = np.linalg.det(a_matrix) |
| 146 | + if det == 0: |
| 147 | + print("This matrix doesn't have an inverse.") |
| 148 | + else: |
| 149 | + inverse = np.linalg.inv(a_matrix) |
| 150 | + print("The result is: ") |
| 151 | + for i in range(len(inverse)): |
| 152 | + converted_list = [str(element) for element in inverse[i]] |
| 153 | + joined_string = " ".join(converted_list) |
| 154 | + print(joined_string) |
| 155 | +menu() |
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