Math Project
My Math Project
Hello everyone, I’m Aristo from Ciputra Makassar University. In this side I will show you my littel helper that can solve a simpel Matrix problem. In this project I use python to make the code. This program can run for Matrix 2x2 to Matrix 4x4. Next I will show all of you the rest of the coding that I made.
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
import os
import time
def create_matrix(rows, cols):
matrix = []
print("Masukkan elemen matriks satu per satu:")
for i in range(rows):
row = []
for j in range(cols):
while True:
try:
value = float(input(f"Masukkan elemen [{i+1}, {j+1}]: "))
row.append(value)
break
except ValueError:
print("Input harus berupa angka. Coba lagi.")
matrix.append(row)
return matrix
def display_matrix(matrix):
for row in matrix:
print("\t".join(map(lambda x: f"{x:.2f}", row)))
def add_matrices(matrix1, matrix2):
rows = len(matrix1)
cols = len(matrix1[0])
result = []
for i in range(rows):
row = []
for j in range(cols):
row.append(matrix1[i][j] + matrix2[i][j])
result.append(row)
return result
def subtract_matrices(matrix1, matrix2):
rows = len(matrix1)
cols = len(matrix1[0])
result = []
for i in range(rows):
row = []
for j in range(cols):
row.append(matrix1[i][j] - matrix2[i][j])
result.append(row)
return result
def multiply_matrices(matrix1, matrix2):
rows1 = len(matrix1)
cols1 = len(matrix1[0])
rows2 = len(matrix2)
cols2 = len(matrix2[0])
if cols1 != rows2:
print("Matriks tidak dapat dikalikan. Jumlah kolom matriks pertama harus sama dengan jumlah baris matriks kedua.")
return None
result = []
for i in range(rows1):
row = []
for j in range(cols2):
value = sum(matrix1[i][k] * matrix2[k][j] for k in range(cols1))
row.append(value)
result.append(row)
return result
def transpose_matrix(matrix):
return [[matrix[j][i] for j in range(len(matrix))] for i in range(len(matrix[0]))]
def determinant_recursive(mat):
if len(mat) == 1:
return mat[0][0]
if len(mat) == 2:
return mat[0][0] * mat[1][1] - mat[0][1] * mat[1][0]
det = 0
for col in range(len(mat)):
minor = [row[:col] + row[col+1:] for row in mat[1:]]
det += ((-1) ** col) * mat[0][col] * determinant_recursive(minor)
return det
def cofactor_matrix(matrix):
size = len(matrix)
cofactors = []
for r in range(size):
cofactor_row = []
for c in range(size):
minor = [row[:c] + row[c+1:] for row in (matrix[:r] + matrix[r+1:])]
cofactor_row.append(((-1) ** (r + c)) * determinant_recursive(minor))
cofactors.append(cofactor_row)
return cofactors
def inverse_matrix(matrix):
det = determinant_recursive(matrix)
if det == 0 or det is None:
time.sleep(1)
os.system('cls')
print("Invers tidak dapat dihitung untuk matriks dengan determinan 0.")
return None
cofactors = cofactor_matrix(matrix)
adjoint = transpose_matrix(cofactors)
inverse = [[adjoint[r][c] / det for c in range(len(matrix))] for r in range(len(matrix))]
return inverse
if __name__ == "__main__":
try:
print("Pilih operasi yang ingin dilakukan:")
print("1. Penjumlahan Matriks")
print("2. Pengurangan Matriks")
print("3. Perkalian Matriks")
print("4. Determinan Matriks")
print("5. Invers Matriks")
choice = int(input("Masukkan pilihan (1-5): "))
time.sleep(1)
os.system('cls')
if choice in [1, 2, 3]:
rows1 = int(input("Masukkan jumlah baris matriks pertama: "))
cols1 = int(input("Masukkan jumlah kolom matriks pertama: "))
print("Matriks pertama:")
matrix1 = create_matrix(rows1, cols1)
time.sleep(0.5)
os.system('cls')
rows2 = int(input("Masukkan jumlah baris matriks kedua: "))
cols2 = int(input("Masukkan jumlah kolom matriks kedua: "))
print("Matriks kedua:")
matrix2 = create_matrix(rows2, cols2)
time.sleep(0.5)
os.system('cls')
if choice == 1:
if rows1 == rows2 and cols1 == cols2:
time.sleep(1)
os.system('cls')
print("Hasil Penjumlahan Matriks:")
display_matrix(add_matrices(matrix1, matrix2))
else:
time.sleep(1)
os.system('cls')
print("Matriks harus memiliki ukuran yang sama untuk dijumlahkan.")
elif choice == 2:
if rows1 == rows2 and cols1 == cols2:
time.sleep(1)
os.system('cls')
print("Hasil Pengurangan Matriks:")
display_matrix(subtract_matrices(matrix1, matrix2))
else:
time.sleep(1)
os.system('cls')
print("Matriks harus memiliki ukuran yang sama untuk dikurangkan.")
elif choice == 3:
result = multiply_matrices(matrix1, matrix2)
if result:
time.sleep(1)
os.system('cls')
print("Hasil Perkalian Matriks:")
display_matrix(result)
elif choice == 4:
rows = int(input("Masukkan ukuran matriks persegi (baris = kolom): "))
matrix = create_matrix(rows, rows)
det = determinant_recursive(matrix)
time.sleep(1)
os.system('cls')
print(f"Determinan Matriks: {det:.2f}")
elif choice == 5:
rows = int(input("Masukkan ukuran matriks persegi (baris = kolom): "))
matrix = create_matrix(rows, rows)
inv = inverse_matrix(matrix)
if inv:
time.sleep(1)
os.system('cls')
print("Invers Matriks:")
display_matrix(inv)
else:
time.sleep(1)
os.system('cls')
print("Pilihan tidak valid.")
except ValueError:
time.sleep(1)
os.system('cls')
print("Input harus berupa angka.")
This post is licensed under CC BY 4.0 by the author.