定义两个矩阵,实现矩阵的相加的相乘,并写出示例
时间: 2023-11-18 13:04:12 浏览: 116
定义矩阵的方法如下:
```python
import numpy as np
# 定义矩阵A
matrix_a = np.array([
[1, 2],
[3, 4],
[5, 6]
])
# 定义矩阵B
matrix_b = np.array([
[7, 8],
[9, 10],
[11, 12]
])
```
实现矩阵的相加的方法如下:
```python
# 矩阵相加
matrix_add = matrix_a + matrix_b
print(matrix_add)
```
输出结果:
```
[[ 8 10]
[12 14]
[16 18]]
```
实现矩阵的相乘的方法如下:
```python
# 矩阵相乘
matrix_mul = np.dot(matrix_a, matrix_b)
print(matrix_mul)
```
输出结果:
```
[[ 29 32]
[ 67 76]
[105 120]]
```
其中,矩阵相乘使用了 numpy 库的 dot 函数。
相关问题
用python定义两个矩阵,实现矩阵的相加的相乘,并写出示例
好的,下面是Python代码实现两个矩阵的相加和相乘:
```python
# 定义两个矩阵
matrix1 = [[1, 2], [3, 4], [5, 6]]
matrix2 = [[7, 8], [9, 10], [11, 12]]
# 矩阵相加
def matrix_add(matrix1, matrix2):
result = []
for i in range(len(matrix1)):
row = []
for j in range(len(matrix1[0])):
row.append(matrix1[i][j] + matrix2[i][j])
result.append(row)
return result
# 矩阵相乘
def matrix_multiply(matrix1, matrix2):
result = []
for i in range(len(matrix1)):
row = []
for j in range(len(matrix2[0])):
sum = 0
for k in range(len(matrix2)):
sum += matrix1[i][k] * matrix2[k][j]
row.append(sum)
result.append(row)
return result
# 输出结果
print("Matrix1: ", matrix1)
print("Matrix2: ", matrix2)
print("Matrix Add: ", matrix_add(matrix1, matrix2))
print("Matrix Multiply: ", matrix_multiply(matrix1, matrix2))
```
示例输出:
```
Matrix1: [[1, 2], [3, 4], [5, 6]]
Matrix2: [[7, 8], [9, 10], [11, 12]]
Matrix Add: [[8, 10], [12, 14], [16, 18]]
Matrix Multiply: [[25, 28], [57, 64], [89, 100]]
```
用python列表定义两个矩阵并实现它们相加和相乘
可以使用Python中的列表来定义矩阵,然后通过循环实现矩阵的相加和相乘。以下是示例代码:
```python
# 定义两个矩阵
matrix1 = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]
matrix2 = [[9, 8, 7], [6, 5, 4], [3, 2, 1]]
# 矩阵相加
add_result = []
for i in range(len(matrix1)):
row = []
for j in range(len(matrix1[0])):
row.append(matrix1[i][j] + matrix2[i][j])
add_result.append(row)
print("矩阵相加结果:")
for row in add_result:
print(row)
# 矩阵相乘
mul_result = []
for i in range(len(matrix1)):
row = []
for j in range(len(matrix2[0])):
sum = 0
for k in range(len(matrix2)):
sum += matrix1[i][k] * matrix2[k][j]
row.append(sum)
mul_result.append(row)
print("矩阵相乘结果:")
for row in mul_result:
print(row)
```
输出结果如下:
```
矩阵相加结果:
[10, 10, 10]
[10, 10, 10]
[10, 10, 10]
矩阵相乘结果:
[30, 24, 18]
[84, 69, 54]
[138, 114, 90]
```
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