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Chapter 11 :
Informatics
Practices
Class XI ( As per
CBSE Board)
Numpy -
Array
Visit : python.mykvs.in for regular updates
New
Syllabus
2019-20
NUMPY - ARRAY
Visit : python.mykvs.in for regular updates
NumPy stands for Numerical Python.It is the core library for
scientific computing in Python. It consist of multidimensional
array objects, and tools for working with these arrays.
Arrays
Numpy Array is a grid of values with same type, and is indexed
by a tuple of nonnegative integers. The number of dimensions of
it ,is the rank of the array; the shape of an array depends upon a
tuple of integers giving the size of the array along each
dimension.
Note:- Befor numpy based programming ,it must be installed. It can be
installed using >pip install numpy command at command prompt
NUMPY - ARRAY
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1 D ARRAY
Any arrays can be single or multidimensional. The number of
subscript/index determines dimensions of the array. An array of one
dimension is known as a one-dimensional array or 1-D array
In above diagram num is an array ,it’s first element is at 0 index
position ,next element is at 1 and so on till last element at n-1 index
position.At 0 index position value is 2 and at 1 index position value
is 5.
NUMPY - ARRAY
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1 D ARRAY
Creation of 1D array
One dimension array can be created using array method with list object
with one dimensional elements.
e.g.program
import numpy as np
a = np.array([500, 200, 300]) # Create a 1D Array
print(type(a)) # Prints "<class 'numpy.ndarray'>"
print(a.shape) # Prints "(3,)" means dimension of array
print(a[0], a[1], a[2]) # Prints "500 200 300"
a[0] = 150 # Change an element of the array
print(a)
NUMPY - ARRAY
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1 D ARRAY
Creation of 1D array Using functions
import numpy as np
p = np.empty(5) # Create an array of 5 elements with random values
print(p)
a1 = np.zeros(5) # Create an array of all zeros float values
print(a1) # Prints "[0. 0. 0. 0. 0.]"
a2 = np.zeros(5, dtype = np.int) # Create an array of all zeros int values
print(a2) # Prints "[0. 0. 0. 0. 0.]"
b = np.ones(5) # Create an array of all ones
print(b) # Prints "[1. 1. 1. 1. 1.]"
c = np.full(5, 7) # Create a constant array
print(c) # Prints "[7 7 7 7 7]"
e = np.random.random(5) # Create an array filled with random values
print(e)
NUMPY - ARRAY
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1 D ARRAY
Difference between Numpy array and list
NUMPY ARRAY LIST
Numpy Array works on
homogeneous types
Python list are made for
heterogeneous types
Python list support adding and
removing of elements
numpy.Array does not support
adding and removing of elements
Can’t contain elements of different
types
can contain elements of different
types
smaller memory consumption more memory consumption
better runtime Runtime not speedy
NUMPY - ARRAY
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1 D ARRAY
Create 1D from string
import numpy as np
data =np.fromstring('1 2', dtype=int, sep=' ')
print(data)
Note:- in fromstring dtype and sep argument can be changed.
Create 1D from buffer
numpy array from range
numpy.arange(start, stop, step, dtype)
#program 1
import numpy as np
x = np.arange(5) #for float value specify dtype = float as argument
print(x) #print [0 1 2 3 4]
#program 2
import numpy as np
x = np.arange(10,20,2)
print (x) #print [10 12 14 16 18]
NUMPY - ARRAY
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1 D ARRAY
Create 1D from array
Copy function is used to create the copy of the existing array.
e.g.program
import numpy as np
x = np.array([1, 2, 3])
y = x
z = np.copy(x)
x[0] = 10
print(x)
print(y)
print(z)
Note that, when we modify x, y changes, but not z:
NUMPY - ARRAY
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1 D ARRAY SLICES
Slicing of numpy array elements is just similar to
slicing of list elements.
e.g.program
import numpy as np
data = np.array([5,2,7,3,9])
print (data[:]) #print [5 2 7 3 9]
print(data[1:3]) #print [2 7]
print(data[:2]) #print [5 2]
print(data[-2:]) #print [3 9]
NUMPY - ARRAY
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1 D ARRAY JOINING
Joining of two or more one dimensional array
is possible with the help of
concatenate() function of numpy object.
e.g.program
import numpy as np
a = np.array([1, 2, 3])
b = np.array([5, 6])
c=np.concatenate([a,b,a])
print(c) #print [1 2 3 5 6 1 2 3]
NUMPY - ARRAY
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Print all subsets of a 1D Array
If A {1, 3, 5}, then all the possible/proper subsets of A are { }, {1}, {3}, {5}, {1,
3}, {3, 5}
e.g.program
import pandas as pd
import numpy as np
def sub_lists(list1):
# store all the sublists
sublist = [[]]
# first loop
for i in range(len(list1) + 1):
# second loop
for j in range(i + 1, len(list1) + 1):
# slice the subarray
sub = list1[i:j]
sublist.append(sub)
return sublist
x = np.array([1, 2, 3,4])
# driver code
print(sub_lists(x))
OUTPUT
[[], array([1]), array([1, 2]),
array([1, 2, 3]), array([1, 2, 3, 4]),
array([2]), array([2, 3]), array([2, 3, 4]),
array([3]), array([3, 4]), array([4])]
NUMPY - ARRAY
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Basic arithmetic operation on
1D Array
e.g.program
import numpy as np
x = np.array([1, 2, 3,4])
y = np.array([1, 2, 3,4])
z=x+y
print(z) #print [2 4 6 8]
z=x-y
print(z) #print [0 0 0 0]
z=x*y
print(z) #print [ 1 4 9 16]
z=x/y
print(z) #print [1. 1. 1. 1.]
z=x+1
print(z) #print [2 3 4 5]
Aggregate operation on 1D
Array
e.g.program
import numpy as np
x = np.array([1, 2, 3,4])
print(x.sum()) #print 10
print(x.min()) #print 1
print(x.max()) #print 4
print(x.mean())#print 2.5
print(np.median(x))#print 2.5
NUMPY - ARRAY
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2 D ARRAY
An array of one dimension/index/subscript is known as a one-
dimensional array or 1-D array
In above diagram num is an array of two dimension with 3 rows and
4 columns.subscript of rows is 0 to 2 and columns is 0 to 3.
NUMPY - ARRAY
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2 D ARRAY
Creation of 2D array
Two dimension array can be created using array method with list object
with two dimensional elements.
e.g.program
import numpy as np
a = np.array([[3, 2, 1],[1, 2, 3]]) # Create a 2D Array
print(type(a)) # Prints "<class 'numpy.ndarray'>"
print(a.shape) # Prints (2, 3)
print(a[0][1]) # Prints 2
a[0][1] = 150 # Change an element of the array
print(a) # prints [[ 3 150 1] [ 1 2 3]]
NUMPY - ARRAY
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2 D ARRAY
Creation of 2D array Using functions
import numpy as np
p = np.empty([2,2]) # Create an array of 4 elements with random values
print(p)
a1 = np.zeros([2,2]) # Create 2d array of all zeros float values
print(a1) # Prints [[0. 0.][0. 0.]]
a2 = np.zeros([2,2], dtype = np.int) # Create an array of all zeros int values
print(a2) # Prints [[0 0] [0 0]]
b = np.ones([2,2]) # Create an array of all ones
print(b) # Prints [[1. 1.] [1. 1.]]
c = np.full([2,2], 7) # Create a constant array
print(c) # Prints [[7 7] [7 7]]
e = np.random.random([2,2]) # Create 2d array filled with random values
print(e)
NUMPY - ARRAY
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2D ARRAY
Creation of 2D array from 1D array
We can create 2D array from 1d array using reshape() function.
e.g. program
import numpy as np
A = np.array([1,2,3,4,5,6])
B = np.reshape(A, (2, 3))
print(B)
OUTPUT
[[1 2 3]
[4 5 6]]
NUMPY - ARRAY
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2 D ARRAY SLICES
Slicing of numpy 2d array elements is just similar to
slicing of list elements with 2 dimension.
e.g.program
import numpy as np
A = np.array([[7, 5, 9, 4],
[ 7, 6, 8, 8],
[ 1, 6, 7, 7]])
print(A[:2, :3]) #print elements of 0,1 rows and 0,1,2 columns
print(A[:3, ::2]) #print elements of 0,1,2 rows and alternate column
position
print(A[::-1, ::-1]) #print elements in reverse order
print(A[:, 0]) #print all elements of 0 column
print(A[0, :]) #print all elements of 0 rows
print(A[0]) #print all elements of 0 row
NUMPY - ARRAY
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2 D ARRAY JOINING
e.g.program
import numpy as np
A = np.array([[7, 5],
[1, 6]])
# concatenate along the first axis
print(np.concatenate([A, A]))
# concatenate along the second
axis (zero-indexed)
print(np.concatenate([A, A], axis=1))
x = np.array([1, 2])
# vertically stack the arrays
print(np.vstack([x, A]))
# horizontally stack the arrays
y = np.array([[99],
[99]])
print(np.hstack([A, y]))
OUTPUT
[[7 5]
[1 6]
[7 5]
[1 6]]
[[7 5 7 5]
[1 6 1 6]]
[[1 2]
[7 5]
[1 6]]
[[ 7 5 99]
[ 1 6 99]]
NUMPY - ARRAY
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2 D ARRAY – ARITHMATIC OPERATION
Arithmetic operation over 2d array is possible with
add,substract,multiply,divide () functions.
E.G.PROGRAM
import numpy as np
a = np.array([[7, 5, 9],
[ 2, 6, 8]])
print(a)
b = np.array([10,10,10])
c=np.add(a,b) # c=a+b, similar
print(c)
c=np.subtract(a,b) # c=a-b, similar
print(c)
c=np.multiply(a,b) # c=a*b, similar
print(c)
c=np.divide(a,b) # c=a/b, similar
print(c)
OUTPUT
[[7 5 9]
[2 6 8]]
[[17 15 19]
[12 16 18]]
[[-3 -5 -1]
[-8 -4 -2]]
[[70 50 90]
[20 60 80]]
[[0.7 0.5 0.9]
[0.2 0.6 0.8]]
Note:-
1. if both 2d arrays are with same dimension[matrix form] then one to one
arithmetic operation will be performed.
2. No of elements of a dimension must match otherwise error message thrown
NUMPY - ARRAY
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2 D ARRAY – ARITHMATIC OPERATION
Arithmetic operation over 2d array can be done with single value
also.
E.G.PROGRAM
import numpy as np
a = np.array([[7, 5, 9],
[ 2, 6, 8]])
print(a)
c=np.add(a,2)
print(c)
c=np.subtract(a,2)
print(c)
c=np.multiply(a,2)
print(c)
c=np.divide(a,2)
print(c)
OUTPUT
[[7 5 9]
[2 6 8]]
[[ 9 7 11]
[ 4 8 10]]
[[5 3 7]
[0 4 6]]
[[14 10 18]
[ 4 12 16]]
[[3.5 2.5 4.5]
[1. 3. 4. ]]
NUMPY - ARRAY
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2 D ARRAY – Mathematical Functions
Maths functions like power,abs,ceil,floor,around and trigonometric
functions like sin,cos,tan,asin etc are supported by numpy
E.G.PROGRAM
import numpy as np
a = np.array([[7.333, 5.223],
[ 2.572, 6.119]])
print(np.power(a,2))
print(np.ceil(a))
print(np.floor(a))
print(np.around(a,1))
OUTPUT
[[53.772889 27.279729]
[ 6.615184 37.442161]]
[[8. 6.]
[3. 7.]]
[[7. 5.]
[2. 6.]]
[[7.3 5.2]
[2.6 6.1]]

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Numpy - Array.pdf

  • 1. Chapter 11 : Informatics Practices Class XI ( As per CBSE Board) Numpy - Array Visit : python.mykvs.in for regular updates New Syllabus 2019-20
  • 2. NUMPY - ARRAY Visit : python.mykvs.in for regular updates NumPy stands for Numerical Python.It is the core library for scientific computing in Python. It consist of multidimensional array objects, and tools for working with these arrays. Arrays Numpy Array is a grid of values with same type, and is indexed by a tuple of nonnegative integers. The number of dimensions of it ,is the rank of the array; the shape of an array depends upon a tuple of integers giving the size of the array along each dimension. Note:- Befor numpy based programming ,it must be installed. It can be installed using >pip install numpy command at command prompt
  • 3. NUMPY - ARRAY Visit : python.mykvs.in for regular updates 1 D ARRAY Any arrays can be single or multidimensional. The number of subscript/index determines dimensions of the array. An array of one dimension is known as a one-dimensional array or 1-D array In above diagram num is an array ,it’s first element is at 0 index position ,next element is at 1 and so on till last element at n-1 index position.At 0 index position value is 2 and at 1 index position value is 5.
  • 4. NUMPY - ARRAY Visit : python.mykvs.in for regular updates 1 D ARRAY Creation of 1D array One dimension array can be created using array method with list object with one dimensional elements. e.g.program import numpy as np a = np.array([500, 200, 300]) # Create a 1D Array print(type(a)) # Prints "<class 'numpy.ndarray'>" print(a.shape) # Prints "(3,)" means dimension of array print(a[0], a[1], a[2]) # Prints "500 200 300" a[0] = 150 # Change an element of the array print(a)
  • 5. NUMPY - ARRAY Visit : python.mykvs.in for regular updates 1 D ARRAY Creation of 1D array Using functions import numpy as np p = np.empty(5) # Create an array of 5 elements with random values print(p) a1 = np.zeros(5) # Create an array of all zeros float values print(a1) # Prints "[0. 0. 0. 0. 0.]" a2 = np.zeros(5, dtype = np.int) # Create an array of all zeros int values print(a2) # Prints "[0. 0. 0. 0. 0.]" b = np.ones(5) # Create an array of all ones print(b) # Prints "[1. 1. 1. 1. 1.]" c = np.full(5, 7) # Create a constant array print(c) # Prints "[7 7 7 7 7]" e = np.random.random(5) # Create an array filled with random values print(e)
  • 6. NUMPY - ARRAY Visit : python.mykvs.in for regular updates 1 D ARRAY Difference between Numpy array and list NUMPY ARRAY LIST Numpy Array works on homogeneous types Python list are made for heterogeneous types Python list support adding and removing of elements numpy.Array does not support adding and removing of elements Can’t contain elements of different types can contain elements of different types smaller memory consumption more memory consumption better runtime Runtime not speedy
  • 7. NUMPY - ARRAY Visit : python.mykvs.in for regular updates 1 D ARRAY Create 1D from string import numpy as np data =np.fromstring('1 2', dtype=int, sep=' ') print(data) Note:- in fromstring dtype and sep argument can be changed. Create 1D from buffer numpy array from range numpy.arange(start, stop, step, dtype) #program 1 import numpy as np x = np.arange(5) #for float value specify dtype = float as argument print(x) #print [0 1 2 3 4] #program 2 import numpy as np x = np.arange(10,20,2) print (x) #print [10 12 14 16 18]
  • 8. NUMPY - ARRAY Visit : python.mykvs.in for regular updates 1 D ARRAY Create 1D from array Copy function is used to create the copy of the existing array. e.g.program import numpy as np x = np.array([1, 2, 3]) y = x z = np.copy(x) x[0] = 10 print(x) print(y) print(z) Note that, when we modify x, y changes, but not z:
  • 9. NUMPY - ARRAY Visit : python.mykvs.in for regular updates 1 D ARRAY SLICES Slicing of numpy array elements is just similar to slicing of list elements. e.g.program import numpy as np data = np.array([5,2,7,3,9]) print (data[:]) #print [5 2 7 3 9] print(data[1:3]) #print [2 7] print(data[:2]) #print [5 2] print(data[-2:]) #print [3 9]
  • 10. NUMPY - ARRAY Visit : python.mykvs.in for regular updates 1 D ARRAY JOINING Joining of two or more one dimensional array is possible with the help of concatenate() function of numpy object. e.g.program import numpy as np a = np.array([1, 2, 3]) b = np.array([5, 6]) c=np.concatenate([a,b,a]) print(c) #print [1 2 3 5 6 1 2 3]
  • 11. NUMPY - ARRAY Visit : python.mykvs.in for regular updates Print all subsets of a 1D Array If A {1, 3, 5}, then all the possible/proper subsets of A are { }, {1}, {3}, {5}, {1, 3}, {3, 5} e.g.program import pandas as pd import numpy as np def sub_lists(list1): # store all the sublists sublist = [[]] # first loop for i in range(len(list1) + 1): # second loop for j in range(i + 1, len(list1) + 1): # slice the subarray sub = list1[i:j] sublist.append(sub) return sublist x = np.array([1, 2, 3,4]) # driver code print(sub_lists(x)) OUTPUT [[], array([1]), array([1, 2]), array([1, 2, 3]), array([1, 2, 3, 4]), array([2]), array([2, 3]), array([2, 3, 4]), array([3]), array([3, 4]), array([4])]
  • 12. NUMPY - ARRAY Visit : python.mykvs.in for regular updates Basic arithmetic operation on 1D Array e.g.program import numpy as np x = np.array([1, 2, 3,4]) y = np.array([1, 2, 3,4]) z=x+y print(z) #print [2 4 6 8] z=x-y print(z) #print [0 0 0 0] z=x*y print(z) #print [ 1 4 9 16] z=x/y print(z) #print [1. 1. 1. 1.] z=x+1 print(z) #print [2 3 4 5] Aggregate operation on 1D Array e.g.program import numpy as np x = np.array([1, 2, 3,4]) print(x.sum()) #print 10 print(x.min()) #print 1 print(x.max()) #print 4 print(x.mean())#print 2.5 print(np.median(x))#print 2.5
  • 13. NUMPY - ARRAY Visit : python.mykvs.in for regular updates 2 D ARRAY An array of one dimension/index/subscript is known as a one- dimensional array or 1-D array In above diagram num is an array of two dimension with 3 rows and 4 columns.subscript of rows is 0 to 2 and columns is 0 to 3.
  • 14. NUMPY - ARRAY Visit : python.mykvs.in for regular updates 2 D ARRAY Creation of 2D array Two dimension array can be created using array method with list object with two dimensional elements. e.g.program import numpy as np a = np.array([[3, 2, 1],[1, 2, 3]]) # Create a 2D Array print(type(a)) # Prints "<class 'numpy.ndarray'>" print(a.shape) # Prints (2, 3) print(a[0][1]) # Prints 2 a[0][1] = 150 # Change an element of the array print(a) # prints [[ 3 150 1] [ 1 2 3]]
  • 15. NUMPY - ARRAY Visit : python.mykvs.in for regular updates 2 D ARRAY Creation of 2D array Using functions import numpy as np p = np.empty([2,2]) # Create an array of 4 elements with random values print(p) a1 = np.zeros([2,2]) # Create 2d array of all zeros float values print(a1) # Prints [[0. 0.][0. 0.]] a2 = np.zeros([2,2], dtype = np.int) # Create an array of all zeros int values print(a2) # Prints [[0 0] [0 0]] b = np.ones([2,2]) # Create an array of all ones print(b) # Prints [[1. 1.] [1. 1.]] c = np.full([2,2], 7) # Create a constant array print(c) # Prints [[7 7] [7 7]] e = np.random.random([2,2]) # Create 2d array filled with random values print(e)
  • 16. NUMPY - ARRAY Visit : python.mykvs.in for regular updates 2D ARRAY Creation of 2D array from 1D array We can create 2D array from 1d array using reshape() function. e.g. program import numpy as np A = np.array([1,2,3,4,5,6]) B = np.reshape(A, (2, 3)) print(B) OUTPUT [[1 2 3] [4 5 6]]
  • 17. NUMPY - ARRAY Visit : python.mykvs.in for regular updates 2 D ARRAY SLICES Slicing of numpy 2d array elements is just similar to slicing of list elements with 2 dimension. e.g.program import numpy as np A = np.array([[7, 5, 9, 4], [ 7, 6, 8, 8], [ 1, 6, 7, 7]]) print(A[:2, :3]) #print elements of 0,1 rows and 0,1,2 columns print(A[:3, ::2]) #print elements of 0,1,2 rows and alternate column position print(A[::-1, ::-1]) #print elements in reverse order print(A[:, 0]) #print all elements of 0 column print(A[0, :]) #print all elements of 0 rows print(A[0]) #print all elements of 0 row
  • 18. NUMPY - ARRAY Visit : python.mykvs.in for regular updates 2 D ARRAY JOINING e.g.program import numpy as np A = np.array([[7, 5], [1, 6]]) # concatenate along the first axis print(np.concatenate([A, A])) # concatenate along the second axis (zero-indexed) print(np.concatenate([A, A], axis=1)) x = np.array([1, 2]) # vertically stack the arrays print(np.vstack([x, A])) # horizontally stack the arrays y = np.array([[99], [99]]) print(np.hstack([A, y])) OUTPUT [[7 5] [1 6] [7 5] [1 6]] [[7 5 7 5] [1 6 1 6]] [[1 2] [7 5] [1 6]] [[ 7 5 99] [ 1 6 99]]
  • 19. NUMPY - ARRAY Visit : python.mykvs.in for regular updates 2 D ARRAY – ARITHMATIC OPERATION Arithmetic operation over 2d array is possible with add,substract,multiply,divide () functions. E.G.PROGRAM import numpy as np a = np.array([[7, 5, 9], [ 2, 6, 8]]) print(a) b = np.array([10,10,10]) c=np.add(a,b) # c=a+b, similar print(c) c=np.subtract(a,b) # c=a-b, similar print(c) c=np.multiply(a,b) # c=a*b, similar print(c) c=np.divide(a,b) # c=a/b, similar print(c) OUTPUT [[7 5 9] [2 6 8]] [[17 15 19] [12 16 18]] [[-3 -5 -1] [-8 -4 -2]] [[70 50 90] [20 60 80]] [[0.7 0.5 0.9] [0.2 0.6 0.8]] Note:- 1. if both 2d arrays are with same dimension[matrix form] then one to one arithmetic operation will be performed. 2. No of elements of a dimension must match otherwise error message thrown
  • 20. NUMPY - ARRAY Visit : python.mykvs.in for regular updates 2 D ARRAY – ARITHMATIC OPERATION Arithmetic operation over 2d array can be done with single value also. E.G.PROGRAM import numpy as np a = np.array([[7, 5, 9], [ 2, 6, 8]]) print(a) c=np.add(a,2) print(c) c=np.subtract(a,2) print(c) c=np.multiply(a,2) print(c) c=np.divide(a,2) print(c) OUTPUT [[7 5 9] [2 6 8]] [[ 9 7 11] [ 4 8 10]] [[5 3 7] [0 4 6]] [[14 10 18] [ 4 12 16]] [[3.5 2.5 4.5] [1. 3. 4. ]]
  • 21. NUMPY - ARRAY Visit : python.mykvs.in for regular updates 2 D ARRAY – Mathematical Functions Maths functions like power,abs,ceil,floor,around and trigonometric functions like sin,cos,tan,asin etc are supported by numpy E.G.PROGRAM import numpy as np a = np.array([[7.333, 5.223], [ 2.572, 6.119]]) print(np.power(a,2)) print(np.ceil(a)) print(np.floor(a)) print(np.around(a,1)) OUTPUT [[53.772889 27.279729] [ 6.615184 37.442161]] [[8. 6.] [3. 7.]] [[7. 5.] [2. 6.]] [[7.3 5.2] [2.6 6.1]]