In [1]:

    

import numpy as np


    

In [2]:

    

a_2d = np.arange(6).reshape(2, 3)
print(a_2d)


    

    




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

In [3]:

    

a_2d_T = a_2d.T
print(a_2d_T)


    

    




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

In [4]:

    

print(np.shares_memory(a_2d, a_2d_T))


    

    




True

In [5]:

    

a_2d_T[0, 1] = 100
print(a_2d_T)


    

    




[[  0 100]
 [  1   4]
 [  2   5]]

In [6]:

    

print(a_2d)


    

    




[[  0   1   2]
 [100   4   5]]

In [7]:

    

a_2d[1, 0] = 3
print(a_2d)


    

    




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

In [8]:

    

print(a_2d_T)


    

    




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

In [9]:

    

a_2d_T_copy = a_2d.T.copy()
print(a_2d_T_copy)


    

    




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

In [10]:

    

print(np.shares_memory(a_2d, a_2d_T_copy))


    

    




False

In [11]:

    

a_2d_T_copy[0, 1] = 100
print(a_2d_T_copy)


    

    




[[  0 100]
 [  1   4]
 [  2   5]]

In [12]:

    

print(a_2d)


    

    




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

In [13]:

    

a_2d = np.arange(6).reshape(2, 3)
print(a_2d)


    

    




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

In [14]:

    

print(a_2d.transpose())


    

    




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

In [15]:

    

print(np.shares_memory(a_2d, a_2d.transpose()))


    

    




True

In [16]:

    

print(np.transpose(a_2d))


    

    




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

In [17]:

    

print(np.shares_memory(a_2d, np.transpose(a_2d)))


    

    




True

In [18]:

    

a_1d = np.arange(3)
print(a_1d)


    

    




[0 1 2]

In [19]:

    

print(a_1d.T)


    

    




[0 1 2]

In [20]:

    

print(a_1d.transpose())


    

    




[0 1 2]

In [21]:

    

print(np.transpose(a_1d))


    

    




[0 1 2]

In [22]:

    

a_row = a_1d.reshape(1, -1)
print(a_row)


    

    




[[0 1 2]]

In [23]:

    

print(a_row.shape)


    

    




(1, 3)

In [24]:

    

print(a_row.ndim)


    

    




2

In [25]:

    

a_col = a_1d.reshape(-1, 1)
print(a_col)


    

    




[[0]
 [1]
 [2]]

In [26]:

    

print(a_col.shape)


    

    




(3, 1)

In [27]:

    

print(a_col.ndim)


    

    




2

In [28]:

    

print(a_row.T)


    

    




[[0]
 [1]
 [2]]

In [29]:

    

print(a_col.T)


    

    




[[0 1 2]]

In [30]:

    

a_3d = np.arange(24).reshape(2, 3, 4)
print(a_3d)


    

    




[[[ 0  1  2  3]
  [ 4  5  6  7]
  [ 8  9 10 11]]

 [[12 13 14 15]
  [16 17 18 19]
  [20 21 22 23]]]

In [31]:

    

print(a_3d.T)


    

    




[[[ 0 12]
  [ 4 16]
  [ 8 20]]

 [[ 1 13]
  [ 5 17]
  [ 9 21]]

 [[ 2 14]
  [ 6 18]
  [10 22]]

 [[ 3 15]
  [ 7 19]
  [11 23]]]

In [32]:

    

print(a_3d.T.shape)


    

    




(4, 3, 2)

In [33]:

    

print(a_3d.transpose())


    

    




[[[ 0 12]
  [ 4 16]
  [ 8 20]]

 [[ 1 13]
  [ 5 17]
  [ 9 21]]

 [[ 2 14]
  [ 6 18]
  [10 22]]

 [[ 3 15]
  [ 7 19]
  [11 23]]]

In [34]:

    

print(a_3d.transpose().shape)


    

    




(4, 3, 2)

In [35]:

    

print(a_3d.transpose(2, 1, 0))


    

    




[[[ 0 12]
  [ 4 16]
  [ 8 20]]

 [[ 1 13]
  [ 5 17]
  [ 9 21]]

 [[ 2 14]
  [ 6 18]
  [10 22]]

 [[ 3 15]
  [ 7 19]
  [11 23]]]

In [36]:

    

print(a_3d.transpose(2, 1, 0).shape)


    

    




(4, 3, 2)

In [37]:

    

print(a_3d.transpose((2, 1, 0)).shape)


    

    




(4, 3, 2)

In [38]:

    

print(np.transpose(a_3d, (2, 1, 0)))


    

    




[[[ 0 12]
  [ 4 16]
  [ 8 20]]

 [[ 1 13]
  [ 5 17]
  [ 9 21]]

 [[ 2 14]
  [ 6 18]
  [10 22]]

 [[ 3 15]
  [ 7 19]
  [11 23]]]

In [39]:

    

print(np.transpose(a_3d, (2, 1, 0)).shape)


    

    




(4, 3, 2)

In [40]:

    

# print(np.transpose(a_3d, 2, 1, 0))
# TypeError: transpose() takes from 1 to 2 positional arguments but 4 were given


    

In [41]:

    

# print(a_3d.transpose(0, 1))
# ValueError: axes don't match array


    

In [42]:

    

# print(a_3d.transpose(0, 1, 2, 3))
# ValueError: axes don't match array


    

In [43]:

    

# print(a_3d.transpose(0, 1, 3))
# AxisError: axis 3 is out of bounds for array of dimension 3


    

In [44]:

    

print(a_3d)


    

    




[[[ 0  1  2  3]
  [ 4  5  6  7]
  [ 8  9 10 11]]

 [[12 13 14 15]
  [16 17 18 19]
  [20 21 22 23]]]

In [45]:

    

print(a_3d.shape)


    

    




(2, 3, 4)

In [46]:

    

print(a_3d.transpose(0, 2, 1))


    

    




[[[ 0  4  8]
  [ 1  5  9]
  [ 2  6 10]
  [ 3  7 11]]

 [[12 16 20]
  [13 17 21]
  [14 18 22]
  [15 19 23]]]

In [47]:

    

print(a_3d.transpose(0, 2, 1).shape)


    

    




(2, 4, 3)

In [48]:

    

print(a_3d.transpose(1, 0, 2))


    

    




[[[ 0  1  2  3]
  [12 13 14 15]]

 [[ 4  5  6  7]
  [16 17 18 19]]

 [[ 8  9 10 11]
  [20 21 22 23]]]

In [49]:

    

print(a_3d.transpose(1, 0, 2).shape)


    

    




(3, 2, 4)

In [50]:

    

print(a_3d[:, :, 0])


    

    




[[ 0  4  8]
 [12 16 20]]

In [51]:

    

print(a_3d.transpose(1, 0, 2)[:, :, 0])


    

    




[[ 0 12]
 [ 4 16]
 [ 8 20]]