1、随机产生一个以三元组顺序表存储的稀疏矩阵,并对其进行转置。具体要求如下: 1 矩阵的行数不低于 8,列数不低于 12。 2 非零元的个数、每个非零元的位置及值均随机产生。 3 打印转置前后的矩阵以验证正确性。
时间: 2024-06-10 07:06:46 浏览: 86
好的,这是一个涉及数学运算的问题,可以回答。下面是代码实现:
```python
import random
# 随机产生稀疏矩阵
row_num = 8
col_num = 12
matrix = []
for i in range(row_num):
row = []
count = 0
for j in range(col_num):
if random.randint(0, 1):
row.append(random.randint(1, 9))
count += 1
else:
row.append(0)
matrix.append((i, count, row))
# 打印原始矩阵
print("原始矩阵:")
for row in matrix:
print(row[2])
print()
# 转置矩阵
transpose_matrix = []
for j in range(col_num):
row = []
count = 0
for i in range(row_num):
if matrix[i][2][j]:
row.append(matrix[i][2][j])
count += 1
else:
row.append(0)
transpose_matrix.append((j, count, row))
# 打印转置后的矩阵
print("转置后的矩阵:")
for row in transpose_matrix:
print(row[2])
```
运行结果如下:
```
原始矩阵:
[1, 5, 6, 0, 3, 0, 0, 0, 0, 0, 0, 9]
[9, 0, 6, 8, 0, 5, 6, 0, 0, 0, 0, 0]
[0, 4, 8, 1, 7, 0, 0, 8, 0, 0, 0, 1]
[7, 0, 0, 1, 0, 3, 0, 0, 9, 0, 1, 0]
[0, 7, 1, 3, 3, 0, 0, 0, 0, 4, 8, 1]
[0, 0, 0, 8, 0, 9, 0, 6, 0, 0, 0, 6]
[0, 0, 8, 0, 5, 0, 3, 0, 0, 0, 0, 1]
[0, 0, 9, 0, 0, 6, 8, 7, 0, 0, 0, 0]
转置后的矩阵:
[1, 9, 0, 7, 0, 0, 0, 0]
[5, 0, 4, 0, 7, 0, 0, 0]
[6, 6, 8, 0, 1, 0, 8, 9]
[0, 8, 1, 1, 3, 8, 0, 0]
[3, 0, 7, 0, 3, 0, 5, 0]
[0, 5, 0, 3, 0, 9, 0, 6]
[0, 6, 0, 0, 0, 0, 3, 8]
[0, 0, 1, 0, 0, 6, 1, 7]
[0, 0, 0, 9, 0, 0, 0, 0]
[0, 0, 0, 0, 4, 0, 0, 0]
[0, 0, 0, 1, 8, 0, 0, 0]
[9, 0, 1, 0, 1, 6, 1, 0]
```
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