In [1]:

    

import numpy as np


    

In [2]:

    

a = b = np.arange(3)
print(a)


    

    




[0 1 2]

In [3]:

    

print(a.shape)


    

    




(3,)

In [4]:

    

print(a * b)


    

    




[0 1 4]

In [5]:

    

print(np.multiply(a, b))


    

    




[0 1 4]

In [6]:

    

a_1_3 = a.reshape(1, 3)
print(a_1_3)


    

    




[[0 1 2]]

In [7]:

    

print(a_1_3.shape)


    

    




(1, 3)

In [8]:

    

b_3_1 = b.reshape(3, 1)
print(b_3_1)


    

    




[[0]
 [1]
 [2]]

In [9]:

    

print(b_3_1.shape)


    

    




(3, 1)

In [10]:

    

print(a_1_3 * b_3_1)


    

    




[[0 0 0]
 [0 1 2]
 [0 2 4]]

In [11]:

    

print(np.multiply(a_1_3, b_3_1))


    

    




[[0 0 0]
 [0 1 2]
 [0 2 4]]

In [12]:

    

print(a * b_3_1)


    

    




[[0 0 0]
 [0 1 2]
 [0 2 4]]

In [13]:

    

print(np.multiply(a, b_3_1))


    

    




[[0 0 0]
 [0 1 2]
 [0 2 4]]

In [14]:

    

print(a_1_3 @ b_3_1)


    

    




[[5]]

In [15]:

    

print(np.matmul(a_1_3, b_3_1))


    

    




[[5]]

In [16]:

    

print(np.dot(a_1_3, b_3_1))


    

    




[[5]]

In [17]:

    

print(type(a_1_3 @ b_3_1))


    

    




<class 'numpy.ndarray'>

In [18]:

    

print((a_1_3 @ b_3_1).shape)


    

    




(1, 1)

In [19]:

    

print(a_1_3 @ b)


    

    




[5]

In [20]:

    

print(np.matmul(a_1_3, b))


    

    




[5]

In [21]:

    

print(np.dot(a_1_3, b))


    

    




[5]

In [22]:

    

print(type(a_1_3 @ b))


    

    




<class 'numpy.ndarray'>

In [23]:

    

print((a_1_3 @ b).shape)


    

    




(1,)

In [24]:

    

print(a @ b)


    

    




5

In [25]:

    

print(np.matmul(a, b))


    

    




5

In [26]:

    

print(np.dot(a, b))


    

    




5

In [27]:

    

print(type(a @ b))


    

    




<class 'numpy.int64'>

In [28]:

    

a = np.arange(6).reshape(2, 3)
print(a)


    

    




[[0 1 2]
 [3 4 5]]

In [29]:

    

b = np.arange(2).reshape(1, 2)
print(b)


    

    




[[0 1]]

In [30]:

    

# print(a @ b)
# ValueError: shapes (2,3) and (1,2) not aligned: 3 (dim 1) != 1 (dim 0)


    

In [31]:

    

print(np.tile(b, (3, 1)))


    

    




[[0 1]
 [0 1]
 [0 1]]

In [32]:

    

print(a @ np.tile(b, (3, 1)))


    

    




[[ 0  3]
 [ 0 12]]